Chapter 12.1, Problem 17E

To determine

To Calculate: The complementary angle of a given angle.

Answer to Problem 17E

The measure of the angle that forms a right angle when placed adjacent to an angle measuring ${28}^o$ is ${62}^o$ .

Explanation of Solution

Given Information: Two angles form a right angle when placed adjacent to each other and one of the angles measures ${28}^o$ .

  

Concept Used: If two angles placed adjacent to each other form a right angle, the angles are called complementary angles and the sum of their measures is ${90}^o$ .

Calculation Information: Write the sum of the measures of the angles as being equal to ${90}^o$ .

  $m\angle 1+{28}^o={90}^o$

  $\Rightarrow m\angle 1={90}^o-{28}^o={62}^o$$$

Therefore, the measure of the angle that forms a right angle when placed adjacent to an angle measuring ${28}^o$ is $62^o$ .