Chapter 2.7, Problem 8PSA

To determine

To calculate : The measurement of the complementary angle is to be found

Answer to Problem 8PSA

The angle is found to be $x={38}^0$

Explanation of Solution

Given information : The following statement is given as a source of information

The complement of an angle is ${24}^0$ greater than twice the angle

Formula used : The following formula has been used

Complement of and angle is $({90}^0-angle)$

Calculation : Let us assume that the angle to be found is x

So, from the given information we can say that

  $({90}^0-x)={24}^0+2x$

Now, simplifying the equation further, we find that

  $x={38}^0$ , where x is the required angle