Answer: angle JML is 58 degrees (choice C)
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Explanation:
Check out the attached image below. I have marked the angles with A, B, and C such that
A = angle NMJ = x+45 (in red)
B = angle JML = x+66 (in blue)
C = angle NML = 95 (in green)
The two angles A and B combine to form angle C. Angles A and B are adjacent angles.
So,
A+B = C
(x+45) + (x+66) = 95
2x+111 = 95
2x+111-111 = 95-111 .... subtract 111 from both sides
2x = -16
2x/2 = -16/2 .... divide both sides by 2
x = -8
From here we can find the angle measures
A = angle NMJ = x+45 = -8+45 = 37 degrees
B = angle JML = x+66 = -8+66 = 58 degrees
As a check,
A+B = 37+58 = 95 = C
so the answer is confirmed.
