Question

Find the value of Y

(note:the line passing through the center of the circle is a diameter.)

77
74
89
96​

Answer 1

Option b

Explanation:

Given is a picture with a circle and a diameter.

To find the angle y

We find that angle on the semi circle i.e. angle subtended by diameter at the corners of arc marked y is 90 degrees. This makes the angle solutions as shown in the picture.

In the quadrilateral two angles are 90, one is 53, and hence the other is

127. The adjacent angle to 127 is 53 and its complementary is 1/2 y = 37

Hence y = 74

OPtion b is correct