what is m∠phj? 100° 120° 140° 160°
what is m∠phj? 100° 120° 140° 160°
Answer
Explanation:
Step1: Recall angle - sum property of a straight - line
The sum of angles on a straight - line is 180°. Since $\angle MHK = 180^{\circ}$, and $\angle MHL=140^{\circ}$, then $\angle LHK = 180^{\circ}-\angle MHL$. $\angle LHK=180 - 140=40^{\circ}$
Step2: Calculate $\angle PHJ$
We know that $\angle LHK+\angle KHP+\angle PHJ = 180^{\circ}$ (a full - circle around point H). Given $\angle KHP = 20^{\circ}$, and $\angle LHK = 40^{\circ}$. Let $x=\angle PHJ$. Then $x=180-(40 + 20)$. $x = 120^{\circ}$
Answer:
$120^{\circ}$