Chapter 2.8, Problem 3PSA

To determine

To calculate : The value of $m\angle 5$ is to be calculated

Answer to Problem 3PSA

The value of $m\angle 5$ is ${43}^0$

Explanation of Solution

Given information : The following information is given

  $\angle 5={(2x+7)}^0$

  $\angle 6={(x+25)}^0$

Formula used : Vertically opposite angles have equal measurements

Calculation : As we know that $\angle 5$ and $\angle 6$ are vertically opposite angles, they will have same values. Hence, we equate the two to find the value of x

  ${(x+25)}^0={(2x+7)}^0\to x={18}^0$

Thus, we substitute it back in the equation to find the value of the angle

Hence, the value of $m\angle 5$ is ${43}^0$