Question

In the circle, measure of Arc BC = 62°. The diagram isn't drawn to scale. what is the measure of Arc BCP?

Answer 1

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 = $\frac{mBP}{2}$

Since arc BC = 62°

So ∠BCP = $\frac{62}{2}=31$

Option D. ∠ BCP = 31° is the answer.

Answer 2

PQ is the tangent, therefore you can use a theorem: The arc measure is double the amount of the angle the tangent makes.

So: 62/2=31