Chapter 12.2, Problem 29E

To determine

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

Answer to Problem 29E

They are supplementary angles.

Explanation of Solution

Given information : $m\angle 1={140}^{\circ }$ and $m\angle 2={40}^{\circ }$

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

Calculation :

  $\begin{array}{l}m\angle 1+m\angle 2={140}^{\circ }+{40}^{\circ }\\ \Rightarrow m\angle 1+m\angle 2={180}^{\circ }\end{array}$

Thus, they are supplementary angles.