Chapter 9, Problem 1CR

To determine

To find:The measure of the smaller angle in the parallelogram

Answer to Problem 1CR

The measure of the smaller angle is ${67.5}^0$

Explanation of Solution

Given information:The angles are given to be in a ratio of $5:3$

Formula used:The consecutive angles of a parallelogram are supplementary

Calculation:We know that consecutive angles of a parallelogram are supplementary. Hence, we know that

  $5x+3x={180}^0\to x={22.5}^0$

Thus. The smaller angel is

  $3x={67.5}^0$