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

Question

find the measure of the missing angles.
answer attempt 1 out of 2
$x = square^{circ}$ $y = square^{circ}$

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(x\) and the \(35^{\circ}\) angle are vertical angles. So \(x = 35^{\circ}\).

Step2: Use angle - sum property for a straight - line

The sum of angles on a straight - line is \(180^{\circ}\). We know one angle is \(35^{\circ}\) and another is \(90^{\circ}\). So \(y=180^{\circ}-35^{\circ}-90^{\circ}=55^{\circ}\).

Answer:

\(x = 35^{\circ}\)
\(y = 55^{\circ}\)