Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.
, BA-Mathematics
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Dive into the fascinating realm of geometry with our "Angle Properties - Parallel Lines Quiz." This quiz is designed to test your understanding of the relationships between angles formed by parallel lines and transversals. Challenge yourself with thought-provoking questions that explore interior angles, exterior angles, corresponding angles, and more.
Whether you're a student looking to reinforce your geometry skills or an enthusiast eager to explore the intricacies of parallel lines, this quiz offers an engaging platform. Uncover the secrets of angle properties and enhance your geometric prowess. Sharpen your knowledge in a fun and interactive way as you master the Read moreprinciples governing angles within the context of parallel lines.
Questions and Answers
1.
Angles a and b are:
A.
Alternate
B.
Co-interior
C.
Vertically-opposite
D.
Corresponding
E.
Exterior
Correct Answer C. Vertically-opposite
Explanation Vertically-opposite angles are formed when two lines intersect. In this case, angles a and b are formed by the intersection of two lines. Vertically-opposite angles are always equal to each other, meaning that angle a is equal to angle b. This is why the answer is vertically-opposite.
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2.
Angles a and c are:
A.
Alternate
B.
Co-interior
C.
Vertically-opposite
D.
Corresponding
E.
Exterior
Correct Answer D. Corresponding
Explanation Angles a and c are corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines. In this case, the angles a and c are located in the same position on the two parallel lines, one on each line. Corresponding angles have equal measures, so angle a and angle c are equal.
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3.
Angles b and c are:
A.
Alternate
B.
Co-interior
C.
Vertically-opposite
D.
Corresponding
E.
Exterior
Correct Answer B. Co-interior
Explanation Angles b and c are co-interior angles because they are located on the same side of the transversal line and on the inside of the two parallel lines. Co-interior angles are supplementary, which means that their sum is equal to 180 degrees. In this case, angles b and c add up to 180 degrees, indicating that they are co-interior angles.
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4.
Angles b and g are:
A.
Alternate
B.
Co-interior
C.
Vertically-opposite
D.
Corresponding
E.
Exterior
Correct Answer A. Alternate
Explanation Angles b and g are alternate angles. Alternate angles are formed when a transversal intersects two parallel lines. In this case, the angles b and g are on opposite sides of the transversal and on different parallel lines. Alternate angles are congruent, meaning they have the same measure.
Explanation The given answer "63, sixty three, sixtythree" indicates that angle a measures 63 degrees. The angles are vertical, which means they are equal to each other. Thus, if one angle is 63 degrees, then so is the other angle.
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6.
How many degrees is angle a?
Correct Answer 70, seventy
Explanation Angle “a” and 110 degrees are supplementary angles. They add up to equal 180. Thus, to determine what angle a is we will subtract 110 from 180 which will give us 70 for angle “a”.
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7.
How many degrees is angle c?
Correct Answer 110, one hundred and ten, one hundred ten
Explanation 70 degrees and angle “c” are co-interior angles. They add up to equal 180. Thus, to determine what angle “c” is we will subtract 70 from 180, which gives us 110.
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8.
what is the size of angle g?
A.
70°
B.
110°
Correct Answer A. 70°
Explanation The size of angle g is 70°. Both angles are alternate, which means they are equal to each other. Thus, angle “g” is also 70 degrees.
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9.
How many degrees is angle g?
A.
125
B.
180
C.
135
D.
90
E.
55
Correct Answer E. 55
Explanation The correct answer is 55 because angle g and 55 degrees are corresponding angles, which means they are equal.
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10.
What is the size of angle d?
A.
55°
B.
90°
C.
125°
D.
180°
E.
25°
Correct Answer A. 55°
Explanation The size of angle d is 55°. Angle b and 55 degrees are vertical angles, which means they are equal. Thus, angle b is 55. However, angle b and angle d are corresponding angles. Corresponding angles are equal to each other. Thus, angle d is 55.
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11.
How many degrees is angle f?
Correct Answer 140, one hundred and forty, one hundred forty
Explanation Angle f and 40 degrees are co-interior angles. Co-interior angles are supplementary which mean they add up to equal 180. Thus, we will subtract 40 from 180 to determine that angle f is 140 degrees.
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12.
How many degrees is angle b?
Correct Answer 40, forty
Explanation Angle “b” and 40 degrees are alternate angles. Alternate angles are equal to each other. Thus, angle b is also 40 degrees.
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13.
How many degrees is angle a?
A.
180°
B.
40°
C.
200°
D.
140°
E.
50°
Correct Answer D. 140°
Explanation Angle f and 40 degrees are co-interior angles. Co-interior angles are supplementary, which means they add up to equal 180. Thus, we will subtract 40 from 180 to determine that angle f is 140 degrees. However, angle “a” and angle “f” are vertical angles, which means they are equal. Thus, if angle f is 140, then angle “a” is also 140.
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14.
How many degrees is angle a?
A.
60°
B.
120°
C.
180°
D.
160°
E.
80°
Correct Answer B. 120°
Explanation Angle “a” and 120 degrees are vertical angles, which means they are equal. Thus, angle “a” is also 120.
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15.
How many degrees is angle c?
Correct Answer 120, one hundred and twenty, one hundred twenty
Explanation Angle “c” and 120 degrees are alternate angles, which means they are equal. Thus, angle “c” is also 120.
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16.
How many degrees is angle d?
Correct Answer 60, sixty
Explanation Angle “c” and 120 degrees are alternate angles, which means they are equal. Thus, angle “c” is also 120. However, angle “c” and angle “d” are supplementary angles that add up to equal 180. To determine angle “d” you will subtract 120 from 180, which will be 60 degrees.
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Janaisa Harris |BA-Mathematics|
Mathematics Expert
Ms. Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher. She is now broadening her educational impact by engaging in curriculum mapping for her county. This endeavor enriches her understanding of educational strategies and their implementation. With a strong commitment to quality education, she actively participates in the review process of educational quizzes, ensuring accuracy and relevance to the curriculum.