Question

In the circle, m arc BC = 72°. The diagram is not drawn to scale. What is m angle BCP

Answer 1

Answer:

Measure of ∠BCP is 36°

Step-by-step explanation:

Given the circle in which measure of arc BC is 72°

we have to find the measure of angle BCP.

m∠BOC=∠2=72°

By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.

∴ ∠2=2∠1 ⇒ 72=2∠1

⇒    ∠1=36°

By alternate segment theorem which states that

The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.

⇒ ∠3=∠1=36°

Hence, measure of ∠BCP is 36°

Option D is correct

   

Answer 2

36 you take 72 and divide it by 2 and get 36