Question

find the measure of the missing angles.
answer attempt 2 out of 2

Explanation:

Step1: Find the measure of \(x\)

Vertical angles are equal. The angle \(x\) and the \(64^{\circ}\) angle are vertical angles. So \(x = 64^{\circ}\).

Step2: Find the measure of \(y\)

The sum of angles in a straight - line is \(180^{\circ}\). We know one angle is \(90^{\circ}\) and another is \(64^{\circ}\). Using the equation \(y+90^{\circ}+64^{\circ}=180^{\circ}\), we can solve for \(y\).

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Answer:

\(x = 64^{\circ}\), \(y = 26^{\circ}\)