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Angles on a line, around a point and in triangles.
Questions and Answers
1.
X = ________°
Explanation The given answer suggests that the value of x is 60 and the degree symbol (°) is also included, indicating that x is measured in degrees.
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2.
X = ________°
Explanation The given answer "45, 45°" suggests that the value of x can be either 45 or 45 degrees. It implies that x can be a numerical value of 45 or an angle measure of 45 degrees.
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3.
X = ________°
Explanation The given answer is "300, 300°". This suggests that the value of x is 300 and it is measured in degrees. The use of the comma indicates that these are two separate values. Therefore, the value of x is 300 and it is measured in degrees.
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4.
X = ________°
Explanation The correct answer is 120, 120° because the given question is asking for the value of x, which is represented by [Blank]. Since the question provides two options, 120 and 120°, it implies that x can take either of these values. Therefore, the answer is 120, 120° as both values are possible for x in this case.
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5.
X = ________°
Explanation The given answer is correct because it includes both the numerical value and the degree symbol, indicating that the value is in degrees. The answer "27, 27°" suggests that the value of x is 27 degrees.
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6.
X = ________°
7.
X = ________°
Explanation The given answer suggests that the value of x is 100 and the unit of measurement is degrees.
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8.
X = ________°
Explanation The answer is "60, 60°" because the question is asking for the value of x, which is represented by [Blank]. The given options are "60" and "60°", both of which are valid values for x. Therefore, the correct answer is 60, 60°.
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9.
X = ________°
Explanation The given answer suggests that the value of x is 59 and the unit of measurement is degrees. This means that x represents an angle of 59 degrees.
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10.
X = ________°
Explanation The given answer, "50, 50°", suggests that the value of x is 50 and it is measured in degrees.
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11.
X = ________°
Explanation The given answer suggests that the value of x is 100 and it is measured in degrees. The use of the symbol "°" indicates that the value represents an angle measurement. Therefore, x is equal to 100 degrees.
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12.
X = ________°
Explanation The given answer suggests that the value of x is 138, and it is measured in degrees.
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13.
X = ________°
Explanation The given answer suggests that the value of x can be either 63 or 63°. This implies that x could represent either a numerical value or an angle measure.
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14.
X = ________°
Explanation The given answer suggests that the value of x is 132 and the unit of measurement is degrees.
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15.
X = ________°
Explanation The given answer is correct because it provides two values for the variable x, which are 120 and 120°. This suggests that the variable x can take on either of these two values, indicating that it is a variable that represents an angle. The use of the degree symbol (°) further confirms that the values are in degrees.
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16.
A = ________°
Explanation The correct answer is 70, 70° because the question asks for the value of "a" and provides two options: 70 and 70°. Since "a" is not specified to be a specific type of value (such as a number or an angle), both options are valid. Therefore, the answer is both 70 and 70°.
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17.
B = ________°
Explanation The given answer suggests that the value of b is 40 and the unit of measurement is degrees (°).
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18.
C = ________°
Explanation The given answer "88, 88°" suggests that the value of c in the equation is 88 and it is measured in degrees. This implies that the blank in the equation should be filled with the number 88 to make it complete.
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19.
D = ________°
20.
E = ________°
Explanation The given answer is correct because it fills in the blank with "42" and includes the degree symbol "°" after it. This suggests that the value represented by "e" is 42 degrees.
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21.
F = ________°
Explanation The given answer, 118, 118°, suggests that the value of f is 118 degrees.
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22.
A = ________°
Explanation The given answer "119, 119°" suggests that the value of "a" is 119 and the unit of measurement is degrees. This implies that "a" is a numerical value representing an angle measurement.
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23.
B = ________°
Explanation The given answer "70, 70°" suggests that the value of b is 70 and the unit of measurement is degrees. This means that b is equal to 70 degrees. The answer provides both the numerical value and the unit of measurement, indicating that b is a measurement of an angle.
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24.
Here are five statements about triangles. Some are true and some are false.
Tick the TRUE statements.
A.
"A triangle can have three acute angles"
B.
"A triangle can have two acute angles and an obtuse angle"
C.
"A triangle can have one acute angle and two obtuse angles"
D.
"A triangle can have two acute angles and a right angle"
E.
"A triangle can have one acute angle and two right angles"
Correct Answer(s) A. "A triangle can have three acute angles" B. "A triangle can have two acute angles and an obtuse angle" D. "A triangle can have two acute angles and a right angle"
Explanation A triangle can have three acute angles. This is true because an acute angle is defined as an angle that measures less than 90 degrees, and since a triangle has a total of 180 degrees, it is possible for all three angles to be less than 90 degrees.
A triangle can have two acute angles and an obtuse angle. This is also true because an obtuse angle is an angle that measures more than 90 degrees, and since a triangle has a total of 180 degrees, it is possible for two angles to be less than 90 degrees and one angle to be more than 90 degrees.
A triangle can have two acute angles and a right angle. This is true because a right angle measures exactly 90 degrees, and since a triangle has a total of 180 degrees, it is possible for two angles to be less than 90 degrees and one angle to be exactly 90 degrees.
Therefore, the given answer is correct.
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25.
A = ________°
Correct Answer(s) 70, 70°
Explanation The given answer, "70, 70°," suggests that the value of "a" is 70 and it is measured in degrees. This means that "a" could represent an angle or a temperature in degrees.
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26.
B = ________°
Correct Answer(s) 120, 120°
Explanation The correct answer is 120, 120° because the question states that "b = [Blank]°" and gives two options, 120 and 120°. Since the question includes the degree symbol, it indicates that the answer should be in degrees. Therefore, the correct answer is 120, 120°.
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27.
C = ________°
Correct Answer(s) 65, 65°
Explanation The given answer "65, 65°" suggests that the value of the variable c is 65. Additionally, it indicates that the unit of measurement for c is degrees (°), specifically 65 degrees.
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28.
D = ________°
Correct Answer(s) 70, 70°
Explanation The given answer is "70, 70°". This suggests that the value of "d" is 70 and the unit of measurement is degrees. The format of the answer suggests that "d" is a variable that represents an angle, and the value assigned to it is 70 degrees. Therefore, the correct answer is 70, 70°.
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29.
E = ________°
Correct Answer(s) 70, 70°
Explanation The given answer is "70, 70°". This suggests that the blank space should be replaced with the number 70, and the degree symbol should also be included. The degree symbol indicates that the value is in degrees. Therefore, the complete expression is "e = 70°".
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30.
F = ________°
Correct Answer(s) 126, 126°
Explanation The given answer, "126, 126°," suggests that the value of f is 126 degrees. The repetition of the number 126 indicates that it is the only value for f, and the degree symbol confirms that it is a measurement of an angle.
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