Chapter E, Problem 2.5EX

To determine

To Find:

The measure of $\angle B$ .

Answer to Problem 2.5EX

The measure of $\angle B$ is option (d) $\angle B={70}^{\circ }$ .

Explanation of Solution

Given information:

$\angle A$ and $\angle B$ are supplementary angles. Here $m\angle A=2x-14$ and $m\angle B=x+8$ .

If $\angle A$ and $\angle B$ are supplementary angles,

Then

  $\begin{array}{l}\angle A+\angle B={180}^{\circ }\\ 2x-14+x+8={180}^{\circ }\\ 3x-6={180}^{\circ }\\ 3x={186}^{\circ }\\ x={62}^{\circ }\end{array}$

Therefore, the measure of $\angle B=x+8=62+8={70}^{\circ }$

Therefore, the measure of $\angle B$ is option (d) $\angle B={70}^{\circ }$ .