Respuesta :

Answer:

Option B is the right choice.

Step-by-step 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.

⇒ [tex]\angle CBE = \frac{1}{2} \times m\ (arc\ CE)[/tex]

⇒ [tex]2\times \angle CBE = m\ (arc\ CE)[/tex]

⇒ [tex]2\times 25 = m\ (arc\ CE)[/tex]

⇒ [tex]50 = m\ (arc\ CE)[/tex]

Measure of intercepted arc CE = 50 degrees.

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

Ver imagen jitushashi143