Question

what is the measure of ∠x? angles are not necessarily drawn to scale. 53° x°

Explanation:

Step1: Recall angle - addition property

We know that if two non - overlapping angles share a common side and a common vertex, the sum of their measures equals the measure of the larger angle. Here, assume the larger angle is a right - angle (not given explicitly but if no other information about the overall angle is provided and we consider the most common scenarios, we can assume a right - angle situation where the two angles $53^{\circ}$ and $x^{\circ}$ together form a $90^{\circ}$ angle).

Step2: Set up the equation

$53 + x=90$.

Step3: Solve for $x$

$x = 90 - 53$.
$x=37$.

Answer:

$37$