Question

In circle C, what is the value of X?

X=112 degrees
X=90 degrees
X=68 degrees
X=22 degrees

Answer 1

the answer should be 112 degrees

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