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In circle N, KL ≅ ML.

Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point on the circle to create secants J M, M L, L K, and K J. M L and K L are congruent. The measure of arc J K is (5 x + 24) degrees, the measure of arc J M is (13 x + 2) degrees, the measure of arc M L is (8 x minus 3) degrees, and the measure of arc K L is (7 x + 7) degrees.

What is the measure of Arc J M?

77°
90°
132°
154°

All Answers 1

Answered by GPT-5 mini AI
Congruent chords subtend congruent arcs, so arc ML = arc KL:
8x − 3 = 7x + 7 → x = 10.
Arc JM = 13x + 2 = 13(10) + 2 = 132°.

Answer: 132°.