Chapter 2.2, Problem 8PSA

To determine

To Prove: $\angle GHK$ is supplementary to $\angle KHG$

Explanation of Solution

Given information:

  

Proof: A pair of angles is called supplementary

If their sum is ${180}^{\circ }$

  $\because$ GHK is a line (as shown in figure)

  $\therefore$ G,H,K from a linear pair by linear pair axiom.

  $\angle GHK+\angle KHK={180}^{\circ }$

And hence these angles are supplementary.