Question

a) Work out the value of x and give

a reason for your answer.

+

53°

+

Lo

b) Work out the value of y and give

a reason for your answer.


Circle theorems

Answer 1

The value of x and y from the given figure are 106 and 127 respectively.

Circle geometry

For a circle geometry, the sum of the opposite angles of the quadrilateral is 180 degrees. Hence;

53 + y = 180

y = 180 - 53

y = 127 degrees

Also, the angle at the center is twice that at the circumference. Hence:

x = 2(53)

x = 106 degrees

Hence the value of x and y from the given figure are 106 and 127 respectively.

Learn more on circle geometry here: https://brainly.com/question/24375372