Chapter 11.1, Problem 2GP

To determine

To classify the pair of angles shown in the picture and then find the value of x.

Answer to Problem 2GP

The angles are complementary angles and value of $x^{\circ }={27.1}^{\circ }$ .

Explanation of Solution

Given:

  

Calculation:

The two angles combined to give right angle. So, the angles are complementary angles.

Now, the sum of the two angles is ${90}^{\circ }$ .

So,

  $\begin{array}{c}{62.9}^{\circ }+x^{\circ }={90}^{\circ }\\ x^{\circ }={90}^{\circ }-{62.9}^{\circ }\\ x^{\circ }={27.1}^{\circ }\end{array}$

Conclusion:

The angles are complementary angles and value of $x^{\circ }={27.1}^{\circ }$ .