Question

Find the values of x and y.

Answer 1

x=30° y=5

Explanation:

All sides of the top triangle are equal. And all angles are equal Since it's an equilateral triangle.

so

8y=40

y=40/8

y=5

Since it's an equilateral triangle. All angles are equal And each angle has dimensions

=180°/3=60°

The angle of the straight line = 180°

so The obtuse angle of the lower isosceles triangle is 180°-60°=120°

The angles at the base of the isosceles triangle are equal

so 2x° = 180°-120°

2x°=60°

x°=60°/2

x°=30°