Chapter 11.1, Problem 1CYP

To determine

To calculate: The measure of $\angle S$ .

Answer to Problem 1CYP

The measure of $\angle S={24.7}^0$ .

Explanation of Solution

Given information: Given, R and S are complementary angles. The measure of $\angle R={65.3}^0$ .

Calculation:

R and S are complementary angles. So, the sum of them is ${90}^0$ .

We can write,

  $\begin{array}{l}\angle R+\angle S=90\\ \Rightarrow 65.3+\angle S=90\\ \Rightarrow \angle S=90-65.3\\ \Rightarrow \angle S=24.7\end{array}$

The measure of $\angle S={24.7}^0$ .