In circle N, KL ≅ ML. What is the measure of? 77° 90° 132° 154°

The answer is 132 ...

The answer

according to the figure,

we can find the value of angle delimited arc JM by following the method below:

since KL ≅ ML, so triagle KNL and NLM are similar by Angle Side Angle Theorem, it does mean that ∠LNK ≅LNM

therefore, 7x+7 = 8x - 3, it implies 8x - 7x = 7+3, x = 10

consequently we can find the value of the angle ∠JNM

13x+2 = 13*10+2 = 130+2=132° (because x=10)

so the answer is 132°