Question

the measures 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, $(x + 19)+54 + 90=180$.

Step2: Simplify the left - hand side

Combine like terms: $x+(19 + 54+90)=x + 163$. So, $x + 163=180$.

Step3: Solve for x

Subtract 163 from both sides: $x=180 - 163$.

Answer:

$x = 17$