Question

1. y 52° x 60° w

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram \(YWV X\), \(YV\parallel XW\). So, \(\angle VYX=\angle VXW = 52^{\circ}\) (alternate - interior angles).

Step2: Use the angle - sum property of triangle

In \(\triangle VXW\), we know that the sum of angles in a triangle is \(180^{\circ}\). Let the unknown angle be \(x\). Then \(x + 52^{\circ}+60^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

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Answer:

\(68^{\circ}\)