Question

Find the values of x and y in the given figure.

Answer 1

The exterior angle property of a triangle is that measure of an exterior angle is equal to the sum of the opposite interior angles.
Therefore, x =${50}^{\circ }+{30}^{\circ }={80}^{\circ }$
Also, y is an exterior angle to the largest triangle.
Therefore, y = ${30}^{\circ }+{45}^{\circ }={75}^{\circ }$