Question

what are the values of x and y?

x =

y =

Explanation:

Step1: Identify the triangle type

Since two sides are marked as equal, it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So \(y = 60^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So \(x+y + 60^{\circ}=180^{\circ}\). Substitute \(y = 60^{\circ}\) into the equation: \(x+60^{\circ}+60^{\circ}=180^{\circ}\). Then \(x=180^{\circ}-(60^{\circ}+60^{\circ})\).

Answer:

\(x = 60^{\circ}\), \(y = 60^{\circ}\)