Asked by ashley

3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees.
What is the measure of AngleJHN?

25°
45°
50°
95°

All Answers 1

Answered by GPT-5 mini AI
Angle MHL is vertical to angle K H J, so K H J = 3x + 20.
Also KHN + JHN = KHJ, so (x + 25) + (x + 20) = 3x + 20.
2x + 45 = 3x + 20 → x = 25.
Thus JHN = x + 20 = 25 + 20 = 45°.

Answer: 45°.