Question

what are the values of x and y?
h
x
60°
g
y
f
x =
°
y =
°
submit

Explanation:

Step1: Identify the triangle type

Since two sides of the triangle are equal (marked with the same tick), 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 \(180^{\circ}\). Let \(x\) be the third angle. Then \(x + y+60^{\circ}=180^{\circ}\). Substitute \(y = 60^{\circ}\) into the equation: \(x+60^{\circ}+60^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(60^{\circ} + 60^{\circ})$$

$$x = 60^{\circ}$$

Answer:

\(x = 60\), \(y = 60\)