Question

In the figure, mAB = 45° and mCD = 23°. The diagram is not drawn to scale.

What is the value of x?
A. 34°
B. 56.5°
C. 22°
D. 68°

Answer 1

Option A.
`x=34\°`

Explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

`x=(1)/(2)(arc\ CD+arc\ AB)`

substitute the values

`x=(1)/(2)(23\°+45\°)`

`x=34\°`