Chapter 11.1, Problem 21IP

To determine

To find: $m\angle 1$

Answer to Problem 21IP

  $m\angle 1={75}^0$

Explanation of Solution

Given information:

  $m\angle FGH={165}^0$

  $m\angle JGH={90}^0$

From the given figure

We can say that

  $\angle FGH=\angle 1+\angle JGH$

On substituting values

We get

  $\begin{array}{l}\angle 1+{90}^0={165}^0\\ \Rightarrow \angle 1={165}^0-{90}^0\\ \Rightarrow \angle 1={75}^0\end{array}$

Therefore,

  $m\angle 1={75}^0$