Question

in this figure, what is the value of x if y = 38°?
triangle with angles 52°, x°, y°
a 45 degree
b 65 degree

Explanation:

Step1: Recall triangle angle sum rule

The sum of interior angles of a triangle is $180^\circ$.

Step2: Substitute known angles

$x + 52^\circ + 38^\circ = 180^\circ$

Step3: Calculate sum of known angles

$52^\circ + 38^\circ = 90^\circ$

Step4: Solve for $x$

$x = 180^\circ - 90^\circ$

Answer:

$90^\circ$

(Note: The provided options do not include the correct calculated value. The correct value of $x$ is 90 degrees.)