Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees. Point E is on the circle between points B and C. What is the measure of arc BEC in circle D? 134° 150 209° 210°

Circle D is inscribed with triangle A B C

The measure of arc BEC is 134 degrees

Given :

Circle D is inscribed with triangle A B C. The measure of arc A B is 76 degrees.

Inscribed angle is equal to half of intercepted arc

Sum of interior angles in a triangle is 180 degrees

Now we find out arc BEC

<A = half of arc BEC

The measure of arc BEC is 134 degrees

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Step-by-step explanation:

step 1

Find the measure of arc AC

we know that

The inscribed angle is half that of the arc it comprises

so

substitute the given value

step 2

Find the measure of arc BEC

we know that

---> by complete circle

substitute the given values

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step-by-step explanation:

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