Question

what is $m\angle phj$?
○ $100^\circ$
○ $120^\circ$
○ $140^\circ$
○ $160^\circ$
(diagram notes: lines mk and jl intersect at point h, with $\angle mhl=140^\circ$, $\angle khp=20^\circ$)

Explanation:

Step1: Find vertical angle of 140°

Vertical angles are equal, so $m\angle JHK = 140^\circ$.

Step2: Subtract 20° from 140°

$\angle PHJ = \angle JHK - \angle PHK$, so $140^\circ - 20^\circ = 120^\circ$.

Answer:

120°