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

WILL GIVE find:measure of arcJK =measure of angle JNM =measure of arcKL =-example-1
User Maplemale
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1 Answer

22 votes
22 votes

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.

User Sanket Kachhela
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