Question

find the unknown angle measure

Explanation:

Step1: Identify the angle type

The diagram shows a right angle (90°) split into two angles, \( x \) and \( 52^\circ \). So, the sum of these two angles should be \( 90^\circ \).

Step2: Set up the equation

We know that \( x + 52^\circ = 90^\circ \). To find \( x \), we solve for \( x \) by subtracting \( 52^\circ \) from both sides of the equation.

$$ x = 90^\circ - 52^\circ $$

Step3: Calculate the value of \( x \)

$$ x = 38^\circ $$

Answer:

\( 38^\circ \)