Chapter 4, Problem 5CUR

To determine

To complete: the blank in the given statement.

Answer to Problem 5CUR

16

Explanation of Solution

Given information:

The given statement is “If $\angle 1$ and $\angle 2$ are complements and $m\angle 1=74$ , then, $m\angle 2=$ $\underset{\_}{}$ ”..

The sum of complementary angles $={90}^0.$

Thus,

  $\begin{array}{l}\angle 1+\angle 2=90\\ 74+\angle 2=90\\ \angle 2=90-74\\ \angle 2={16}^0\end{array}$

Hence, $m\angle 2={16}^0$