In the circle, measure of Arc BC = 62°. The diagram isn't drawn to scale. what is the measure of Arc BCP?
![In the circle measure of Arc BC 62 The diagram isnt drawn to scale what is the measure of Arc BCP class=](https://us-static.z-dn.net/files/d5b/2785c22e5cf17b9a7047d4dbd15f3ec5.jpg)
Answer:
Option D. ∠BCP = 31°
Step-by-step explanation:
As we know by the theorem tangent and chords, an angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc.
Theorem clearly reveals ∠BCP = [tex]\frac{mBP}{2}[/tex]
Since arc BC = 62°
So ∠BCP = [tex]\frac{62}{2}=31[/tex]
Option D. ∠ BCP = 31° is the answer.