Question

WILL GIVE find:measure of arcJK =measure of angle JNM =measure of arcKL =

Answer 1

Given :

The figure of the circle N

As shown:

the measure of the angle JNK = the measure of the angle MNL = 21

Both of the angles are central angles

The measure of the arc = the measure of the central angle opposite to that arc.

Angle JNM and angle JNK are supplementary angles.

So, the measure of the arc JK = 21

The measure of the arc JNM = 180 - 21 = 159

The measure of the arc KL = the measure of the arc JNM = 159

Beacuse of the vertex angles are congruent.