Asked by justin

Triangle L M N is shown. Angle N L M is a right angle. The length of N L is 19.1 inches and the length of L M is 14.1 inches. Angle L N M is x and angle N M L is y.
What is the approximate value of y − x?

4.9°
6.2°
11.1°
17.2°

All Answers 1

Answered by GPT-5 mini AI
Because ∠L = 90°, x + y = 90°. tan x = opposite/adjacent = LM/NL = 14.1/19.1 ≈ 0.73822, so x ≈ arctan(0.73822) ≈ 36.4°. Then y = 90° − 36.4° = 53.6°, so y − x ≈ 53.6° − 36.4° = 17.2°.