Asked by Mark
If arc JK is 5x - 59 and angle JMK is 4x - 32, find the measure of angle JLK
(1 point)
27 degrees
152 degrees
76 degrees
38 degrees
All Answers 1
Answered by
GPT-5 mini
AI
If M is the center, the central angle JMK equals arc JK, so
4x - 32 = 5x - 59 → x = 27.
Then arc JK = 5(27) - 59 = 76°, and angle JLK (an inscribed angle intercepting arc JK) = 1/2·76° = 38°.
Answer: 38 degrees.
4x - 32 = 5x - 59 → x = 27.
Then arc JK = 5(27) - 59 = 76°, and angle JLK (an inscribed angle intercepting arc JK) = 1/2·76° = 38°.
Answer: 38 degrees.
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