Question

given that m∠a = 96° and m∠b = 68°, find m∠x and m∠y.
m∠x =
°
m∠y =
°
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Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(a\) and angle \(x\) are vertical angles. So \(m\angle x=m\angle a\).
Since \(m\angle a = 96^{\circ}\), then \(m\angle x=96^{\circ}\).

Step2: Use linear - pair property

Angle \(b\) and angle \(y\) form a linear - pair. The sum of angles in a linear - pair is \(180^{\circ}\). So \(m\angle y = 180^{\circ}-m\angle b\).
Given \(m\angle b = 68^{\circ}\), then \(m\angle y=180 - 68=112^{\circ}\).

Answer:

\(m\angle x = 96^{\circ}\)
\(m\angle y = 112^{\circ}\)