Question

what are the values of x and y?

Explanation:

Step1: Use the property of isosceles triangle

Since the two sides of the triangle are equal (marked with red lines), the angles opposite to these sides are equal. So \(x = 73^{\circ}\)

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let's find \(y\). We know that \(x + x + y=180^{\circ}\). Substitute \(x = 73^{\circ}\) into the equation: \(73^{\circ}+73^{\circ}+y = 180^{\circ}\), then \(y=180^{\circ}-(73^{\circ}+73^{\circ}) = 34^{\circ}\)

Answer:

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