Question

find the measure of ∠x. 136° 37° x m∠x = °

Explanation:

Step1: Find the non - 136° adjacent angle

The angle adjacent to 136° on a straight - line is supplementary to 136°. Let this angle be $y$. So, $y = 180^{\circ}-136^{\circ}=44^{\circ}$.

Step2: Use the angle - sum property of a triangle

In the triangle formed, the sum of the interior angles of a triangle is 180°. We know two angles of the triangle: $y = 44^{\circ}$ and 37°. Let the third angle be $x$. Then $x=180^{\circ}-(44^{\circ}+37^{\circ})$.
$x = 180^{\circ}-81^{\circ}=99^{\circ}$.

Answer:

$99$