Question

what is m∠phj? 100° 20° 140° 160°

Explanation:

Step1: Recall linear - pair property

A linear - pair of angles is supplementary, i.e., their sum is 180°. Angle ∠MHL and ∠LHK form a linear - pair. Given ∠MHL = 140°, then ∠LHK=180° - 140° = 40°.

Step2: Calculate ∠PHJ

We know that ∠LHK = ∠LHP+∠PHJ. Given ∠LHP = 20°, then ∠PHJ=∠LHK - ∠LHP. Substitute ∠LHK = 40° and ∠LHP = 20° into the formula: ∠PHJ=40° - 20° = 20°.

Answer:

20°