Based on the isosceles triangle shown above, the values of x and y are;
x = 124°.
y = 28°.
In Mathematics and Geometry, an isosceles triangle is a type of triangle with two (2) sides that are equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) side lengths that are equal and two (2) angles with the same magnitude.
The Base Angle Theorem states that if two sides are congruent, then the opposite angles are congruent. In this context, we have;
y = 28°.
Based on the triangle angle sum property, we have the following supplementary angles
x + y + 28 = 180
x + 56 = 180
x = 180 - 56
x = 124°.