Question

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.


What is mAnglePHJ?

100°
120°
140°
160°

Answer 1

120°

Explanation: MH and KH are opposite rays, and JH and HL are opposite rays. Since ∠MHL = 140°, the adjacent angle ∠KHL = 180° − 140° = 40°, so ∠KHJ = 180° − 40° = 140°. With P inside ∠KHJ and ∠KHP = 20°, we have ∠PHJ = ∠KHJ − ∠KHP = 140° − 20° = 120°.