Chapter 11.1, Problem 27PPS

To determine

To calculate : Measures of $\angle B,\angle C$

Answer to Problem 27PPS

  $\angle B=\angle C=35°$

Explanation of Solution

Given information : Sum of measure of $\angle A,\angle B,\angle C$ is $180°$ and $\angle B=\angle C,\angle A=110°$

Calculation :

  $\angle A+\angle B+\angle C=180°$

Let $\angle B=\angle C=x$

Also, $\angle A=110°$

So,

  $\begin{array}{l}110°+x+x=180°\\ \Rightarrow 110°+2x=180°\\ \Rightarrow 2x=180°-110°=70°\\ \Rightarrow x=\frac{70}{2}=35°\end{array}$

So,

  $\angle B=\angle C=35°$