Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is $180^{\circ}$. So, $x + 81+40=180$.

Step2: Simplify the left - hand side

$x + 121 = 180$.

Step3: Solve for x

Subtract 121 from both sides: $x=180 - 121$. Thus, $x = 59$.

Answer:

$x = 59$