Question

Find the measure of arc BEF.

Answer 1

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.