Chapter 12.2, Problem 30E

To determine

To identify: The angles are complementary, supplementary or neither.

Answer to Problem 30E

They are neither complementary nor supplementary angle.

Explanation of Solution

Given information : $m\angle 3={118}^{\circ }$ and $m\angle 4={72}^{\circ }$

Concept used : If the sum of angles be ${180}^{\circ }$ , then they are known as supplementary angles. Add the measurement of the angles.

Calculation :

  $\begin{array}{l}m\angle 3+m\angle 4={118}^{\circ }+{72}^{\circ }\\ \Rightarrow m\angle 3+m\angle 4={190}^{\circ }\end{array}$

Thus, They are neither complementary nor supplementary angle.