Chapter 2.4, Problem 5PSA

To determine

To Find : measure of each angle

Answer to Problem 5PSA

  ${35}^{\circ }$ And ${55}^{\circ }$

Explanation of Solution

Given information: one angle is ${20}^{\circ }$ more then other.

Let two angle $x^{\circ }$ and $x^{\circ }+{20}^{\circ }$

  $\because x^{\circ }\&x^{\circ }+{20}^{\circ }$ are complementary angle

  $\begin{array}{l}\therefore x^{\circ }+x^{\circ }+{20}^{\circ }={90}^{\circ }\\ 2x^{\circ }={70}^{\circ }\\ x^{\circ }={35}^{\circ }\end{array}$

  $\therefore$ Angle will be ${35}^{\circ }$ and ${35}^{\circ }+{20}^{\circ }$

  $\therefore$ Answer ${35}^{\circ }$ and ${55}^{\circ }$