Question

What is the measure of angle QPR in the given figure?

A. 32
B. 56
C. 62
D. 68

Answer 1

D. 68

Explanation:

According to the figure, the minor arc is 112°, so the other part of the circle would be 360° - 112° = 248°, because a circle has 360° as total arc.

Now, when an external angle is formed by two tangents, that angle is defined as the half-difference between the intercepted arcs, which can be expressed as

`\angle QPR=(1)/(2)(248-112) =(1)/(2)(136) \\\angle QPR=68\°`

Therefore, the right answer is D.