Question

find the measure of the missing angles.
answer
attempt 1 out of 3
$x=\square{}^{circ}$ $y=\square{}^{circ}$
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Explanation:

Step1: Find the value of \( x \)

Since \( x + 38^{\circ}+90^{\circ}=180^{\circ}\) (straight - line angle), then \( x=180^{\circ}-90^{\circ}-38^{\circ}\).

$$x = 180 - 90 - 38=52^{\circ}$$

Step2: Find the value of \( y \)

\( y\) and \( x\) are vertical angles. Vertical angles are equal. So \( y=x\).

Answer:

\( x = 52^{\circ}\), \( y = 52^{\circ}\)