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, $x + 64+47=180$.

Step2: Simplify the left - hand side

$x+(64 + 47)=x + 111$. So, the equation becomes $x + 111=180$.

Step3: Solve for x

Subtract 111 from both sides of the equation: $x=180 - 111$.
$x = 69$.

Answer:

69