What is the measure of angle QPR in the given figure?
A. 32
B. 56
C. 62
D. 68
Answer:
Step-by-step 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
[tex]\angle QPR=\frac{1}{2}(248-112) =\frac{1}{2}(136) \\\angle QPR=68\°[/tex]
Therefore, the right answer is D.