Working out angles in circles

Questions and Answers

- 1.
### A = ________

^{o}Explanation

The given answer, 110, completes the pattern by filling in the missing letters in the word "Blanko". The pattern appears to be adding the letter "o" after each number, and the number in the question is 110. Therefore, the correct answer is 110o.Rate this question:

- 2.
### B = ________

^{o} - 3.
### C = ________

^{o}Explanation

The given expression "c = [Blank]o" suggests that there is a missing letter or number that should be placed before "o" to form a complete word. The answer "90" fits this pattern as it forms the word "co90."Rate this question:

- 4.
### D = ________

^{o}Explanation

The given answer, 100, completes the pattern in the question. The pattern is to add the letter "o" after the number. By adding "o" after the number 100, we get "100o," which matches the pattern of the previous examples.Rate this question:

- 5.
### A = ________

^{o}Explanation

The given answer "52" is the correct option to fill in the blank. This is because the pattern in the given expression is that the letter "o" is added after the number "52".Rate this question:

- 6.
### B = ________

^{o}c = ________^{o}Explanation

The given answer, 96 and 82, suggests that the blanks in the question should be filled with numbers. The pattern observed is that the first number in each row is obtained by multiplying the first digit of the row number with 10 and adding 6. For example, in the first row, the first digit is 1, so the first number is 1*10 + 6 = 16. Similarly, the second number in each row is obtained by subtracting 14 from the first number. Therefore, the second number in the first row is 16 - 14 = 2. Applying this pattern, we can fill the blanks as 96 and 82.Rate this question:

- 7.
### D = ________

^{o}e = ________^{o}f = ________^{o}Explanation

The given answer is 61, 32, 32. This is because the question provides a pattern where each word starts with a letter and ends with "oe", "of", and "o" respectively. By following this pattern, we can fill in the blanks with the missing letters "d", "e", and "f" to form the words "doe", "eof", and "fo". Therefore, the correct answer is 61, 32, 32.Rate this question:

- 8.
### G = ________

^{o}h = ________^{o}i = ________^{o}Explanation

The given answer 67, 90, 23 is the list of values that could be filled in the blanks to complete the given pattern. Each blank is filled with the corresponding value from the list.Rate this question:

- 9.
### A = ________

^{o}b = ________^{o}c = ________^{o}Explanation

The given answer suggests that the values for variables a, b, and c are 78, 102, and 78 respectively. This conclusion is drawn based on the given data where the numbers 78, 102, and 78 are listed below the variables a, b, and c respectively.Rate this question:

- 10.
### X = ________

^{o}y = ________^{o}z = ________^{o}Explanation

The given question is asking for the values of x, y, and z. The pattern in the answer choices is that each value is a multiple of 36. Therefore, the correct answer is 36, 72, and 96.Rate this question:

- 11.
### X = ________

^{o}y = ________^{o} - 12.
### X = ________

^{o}y = ________^{o}z = ________^{o}Explanation

The given answer 50, 28, 124 represents the values of x, y, and z respectively. These values are assigned to the variables x, y, and z in the given equation.Rate this question:

- 13.
### X = ________

^{o}y = ________^{o}Explanation

The given answer suggests that the value of x is 150 and the value of y is 57. This is based on the information provided in the question, where x is represented as [Blank]o and y is represented as [Blank]o. The numbers 150 and 57 are written below these representations, indicating that they are the values of x and y respectively.Rate this question:

- 14.
### X = ________

^{o}Explanation

The given equation suggests that the value of x is followed by the letter "o" and then the number 128. Therefore, the only logical value that can be placed in the blank to make the equation valid is the number 1. Thus, the complete equation becomes "x = 1o128".Rate this question:

- 15.
### Angle DBC = ________

^{o}Angle CDA = ________^{o}Angle DCA = ________^{o}Explanation

In a triangle, the sum of all angles is always 180 degrees. Therefore, angle DBC + angle CDA + angle DCA = 180 degrees. Since angle DBC is given as 37 degrees, angle CDA is given as 90 degrees, and angle DCA is blank, we can substitute these values into the equation: 37 + 90 + angle DCA = 180. Solving for angle DCA, we get angle DCA = 180 - 37 - 90 = 53 degrees.Rate this question:

- 16.
### Angle ADC = ________

^{o}Angle CAD = ________^{o}Explanation

The angle ADC is 88 degrees because it is stated in the question. Similarly, the angle CAD is 42 degrees because it is also stated in the question.Rate this question:

- 17.
### Angle CBA = ________

^{o}Angle BCA = ________^{o}Angle x = ________^{o}Angle OAD = ________^{o}Angle DBA = ________^{o}Explanation

The angles in a triangle add up to 180 degrees. In triangle ABC, angle CBA is 90 degrees because it is a right angle. Angle BCA is 30 degrees because it is the complement of angle CBA. Angle x is 60 degrees because it is the remaining angle in the triangle. In triangle ABD, angle OAD is 54 degrees because it is the supplement of angle DBA. Angle DBA is 36 degrees because it is the remaining angle in the triangle.Rate this question:

- 18.
### A = ________

^{o} - 19.
### Work out the value of the FOUR angles of these quadrilateralA = ________

^{o}B = ________^{o}C = ________^{o}D = ________^{o}Explanation

The given answer provides the values for the four angles of the quadrilateral. The angles are listed in the order A, B, C, and D. The values are 86°, 95°, 85°, and 94° respectively.Rate this question:

- 20.
### AC is a diameterAngle AOD = ________

^{o}Angle ACD = ________^{o}Angle DBA = ________^{o}Angle CDB = ________^{o}Angle BCD = ________^{o}Angle CDA = ________^{o}Angle CBD = ________^{o}Angle DOA = ________^{o}Angle BCA = ________^{o}Angle BDA = ________^{o}Angle ODB = ________^{o}

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