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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=

Respuesta :

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

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.