Chapter 2.7, Problem 14PSB

To determine

To calculate : The measure of the complementary angle is to be calculated

Answer to Problem 14PSB

The value of the complementary angle is ${50}^0$

Explanation of Solution

Given information : The following statement is given

When one half of the supplement of an angle is added to the complement of the angle, the sum is ${120}^0$

Formula used : Linear addition of angles is used

Calculation : Let us assume that the angle is x

Hence, from the given statement we can say that

  $\frac{1}{2}({180}^0-x)+({90}^0-x)={120}^0$

From the found equation, we can say that

  $x={40}^0$

Now, we have to find the complement of the angle

Thus, we need to find

  ${90}^0-x={50}^0$

Thus, this is our desired answer