Question

question find the measure of the missing angles. answer attempt 2 out of 2 x = ° y = °

Explanation:

Step1: Use complementary - angle property

Since the angle adjacent to \(x\) is \(53^{\circ}\) and the two angles form a right - angle (\(90^{\circ}\)), we have \(x + 53^{\circ}=90^{\circ}\).
So, \(x=90^{\circ}-53^{\circ}\).

Step2: Calculate the value of \(x\)

\(x = 37^{\circ}\)

Step3: Use the property of a right - angle

We know that the vertical line and the horizontal line are perpendicular, so the angle formed by them is \(90^{\circ}\). And \(y\) and the angle adjacent to it (the one we just found \(x = 37^{\circ}\)) together form a right - angle. So \(y=x = 37^{\circ}\)

Answer:

\(x = 37\)
\(y = 37\)