Chapter 2.2, Problem 16PSB

To determine

To calculate: measure of two supplementary angles which are in ratio 11:7

Answer to Problem 16PSB

  ${110}^{\circ }$ And ${70}^{\circ }$

Explanation of Solution

Given information: two supplementary angles which are in ratio 11:7

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

Calculation: let measure of the angle be $11x^{\circ }$ and $7x^{\circ }$

  $\begin{array}{l}\therefore 11x^{\circ }+7x^{\circ }={180}^{\circ }\\ \Rightarrow x={10}^{\circ }\end{array}$

  $\therefore$ Angles are $11\times {10}^{\circ }={110}^{\circ }$ and $7\times {10}^{\circ }={70}^{\circ }$