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Find the measure of arc BEF.

Find the measure of arc BEF.-example-1
User Rabudde
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1 Answer

1 vote

Given:

The diagram of a circle.


m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ.

To find:

The measure of arc BEF.

Solution:

The measure of central angle is equal to the measure of corresponding arc.

So, in the given figure,


n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ

Now,


m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)


m(arcBEF)=124^\circ +30^\circ+76^\circ


m(arcBEF)=230^\circ

Therefore, the measure of arc BEF is 230 degrees.

User Mike James
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3.4k points