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 the interior angles of a triangle is 180°. So, we have the equation $48 + 97+x=180$.

Step2: Simplify the left - hand side

$48 + 97=145$, so the equation becomes $145 + x=180$.

Step3: Solve for x

Subtract 145 from both sides of the equation: $x=180 - 145$.
$x = 35$.

Answer:

$35$