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

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 2

Option D. ∠BCP = 31°

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 =
`(mBP)/(2)`

Since arc BC = 62°

So ∠BCP =
`(62)/(2)=31`

Option D. ∠ BCP = 31° is the answer.