Question

QUICK!!!

Find measure of arc CE


A. 40°

B.50°

C.75°

D.80°

Answer 1

Option B is the right choice.

Explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

• An inscribed angle is an angle with its vertex on the circle.
• The measure of an inscribed angle is half the measure the intercepted arc.
• Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒
`\angle CBE = (1)/(2) * m\ (arc\ CE)`

⇒
`2* \angle CBE = m\ (arc\ CE)`

⇒
`2* 25 = m\ (arc\ CE)`

⇒
`50 = m\ (arc\ CE)`

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.