Question

∠ghk is a straight angle. find m∠lhk.

Explanation:

Step1: Recall straight - angle property

A straight angle measures 180°. So, \(m\angle GHK=180^{\circ}\).

Step2: Use angle - addition postulate

We know that \(m\angle GHK=m\angle GHL + m\angle LHK\). Given \(m\angle GHL = 79^{\circ}\), we can find \(m\angle LHK\) by the formula \(m\angle LHK=m\angle GHK - m\angle GHL\).

Step3: Calculate \(m\angle LHK\)

Substitute the values: \(m\angle LHK=180^{\circ}-79^{\circ}=101^{\circ}\).

Answer:

101