Chapter 2.2, Problem 11PSA

To determine

To calculate: Measure of larger angle.

Answer to Problem 11PSA

  ${125}^{\circ }$ .

Explanation of Solution

Given information: Two supplementary angles whose different is ${70}^{\circ }$

Formula Used: sum of two supplementary angle is ${180}^{\circ }$ .

Calculation: let the angle are of measure $x^{\circ }$ and ${(x-70)}^{\circ }$ , so that $x^{\circ }$ is the larger angle.

  $\begin{array}{l}$ \therefore x^{\circ }+{(x-70)}^{\circ }={180}^{\circ }$\therefore 2x={250}^{\circ }\\ \therefore x={125}^{\circ }\end{array}$