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Alex17521 [72]
2 years ago
12

Find the measure of arc BEF.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

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.

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