Chapter 7, Problem 8RP

To determine

To calculate : The value of $m\angle 1$ and $m\angle 2$

Answer to Problem 8RP

The final values are $m\angle 1= {50}^0$ and $m\angle 1= {50}^0$

Explanation of Solution

Given information : The following equations can be interpreted from the diagram

  ${90}^0+{40}^0+\angle 1={180}^0$

  ${90}^0+{40}^0+\angle 2={180}^0$

Formula used : The sum of the measures of the angles of any triangle is ${180}^0$

Calculation : Now, solving both the equations separately for the values of $m\angle 1$ and $m\angle 2$ , we get

  $m\angle 1= {50}^0$ , and

  $m\angle 2= {50}^0$