Chapter 7.2, Problem 9PSA

To determine

To calculate : The value of $m\angle 1$ .

Answer to Problem 9PSA

The value of $m\angle 1={50}^0$

Explanation of Solution

Given information : The following diagram is given

  

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

Calculation : We add up the angles of the triangle as

  ${180}^0=\angle 1+{50}^0+2x+{10}^0$

And, we add up supplementary angles to ${180}^0$ as

  ${180}^0=\angle 1+4x-{10}^0$

Now, we solve the two linear equations and we get

  $m\angle 1={50}^0$