Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation $(x - 5)^{\circ}+90^{\circ}+34^{\circ}=180^{\circ}$.

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: $(x - 5)+90 + 34=x+( - 5+90 + 34)=x + 119$. So the equation becomes $x + 119=180$.

Step3: Solve for x

Subtract 119 from both sides of the equation: $x=180 - 119$.
$x = 61$.

Answer:

$x = 61$