Question

In circle C, what is the value of x?

x = 112°

x = 90°

x = 68°

x = 22°

Answer 1

If c lies on diameter the angle in a semicircle.therefore another angle is 90.then by angle sum property it’s 22 degree

Answer 2

x=22 degrees

Explanation:

We are given a circle C

Centre is at C

A line passes through the centre makes angle x and 68 on either side

A triangle is formed with angles x, 68 and another angle at the circumference.

Since the line passing through the centre is diameter of the circle, we have

the third angle of the triangle = 90 degrees ( BY semi circle angle theorem)

In the triangle sum of three angles

=90+x+68 =180

x =22 degrees