Chapter 12, Problem 2MCQ

To determine

To state: whether the angles are complementary, supplementary or neither.

Answer to Problem 2MCQ

the angles are not complementary or not supplementary.

Explanation of Solution

Given :

  $m\angle 3={18}^{\circ }$

  $m\angle 4={18}^{\circ }$

to find that the given angles are supplementary or complementary, find their sum if the sum is ${90}^{\circ }$ then they are complementary, if the sum of their angles is ${180}^{\circ }$ then they are supplementary.

  $m\angle 3={18}^{\circ }$

  $m\angle 4={18}^{\circ }$

  $\begin{array}{l}m\angle 3+m\angle 4={18}^{\circ }+{18}^{\circ }\text{ [substitute]}\\ m\angle 3+m\angle 4={36}^{\circ }\text{ [add]}\end{array}$

the sum of angles neither ${90}^{\circ }$ nor ${180}^{\circ }$ .

So the angles are not complementary or not supplementary.

Hence,the angles are not complementary or not supplementary.