Chapter 3.2, Problem 38PPS

To determine

To determine $x.$

Answer to Problem 38PPS

  $x={22}^{\circ }$

Explanation of Solution

Given information :

  

  

Let’s draw an auxiliary line.

Now it is given that $\angle 1+\angle 2={72}^{\circ }$

Now we know that $\angle 1={50}^{\circ }$ (by corresponding angles postulate theorem)

Now we know that $x^{\circ }=\angle 2={72}^{\circ }-{50}^{\circ }={22}^{\circ }$ (angle $x\text{ and }\angle \text{2}$ are equal by corresponding angles postulate theorem)