Question

what are the values of x and y?

Explanation:

Step1: Use the property of isosceles triangle

Since two sides of the triangle are equal (marked with red lines), the triangle is isosceles. So, \(y = 73^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(x\) be the angle at \(P\). Then \(x + y+73^{\circ}=180^{\circ}\). Substitute \(y = 73^{\circ}\) into the equation: \(x+73^{\circ}+73^{\circ}=180^{\circ}\).

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Answer:

\(x = 34^{\circ}\), \(y = 73^{\circ}\)