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, $x + 43+80=180$.

Step2: Simplify the left - hand side

$x+(43 + 80)=x + 123$. So the equation becomes $x+123 = 180$.

Step3: Solve for x

Subtract 123 from both sides of the equation: $x=180 - 123$.
$x = 57$.

Answer:

$57$