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find the measure of the missing angles. answer attempt 1 out of 2 x = y…

Question

find the measure of the missing angles. answer attempt 1 out of 2 x = y =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $x$ and the $32^{\circ}$ angle are vertical angles. So $x = 32^{\circ}$.

Step2: Use angle - sum property

The sum of angles in a right - angle situation (where there is a right - angle symbol) is $90^{\circ}$. We know one angle is $32^{\circ}$ and we want to find $y$. So $y+32^{\circ}=90^{\circ}$, then $y = 90^{\circ}-32^{\circ}$.

Answer:

$x = 32$
$y = 58$