Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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=

Sagot :

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.