Question

1. consider the diagram below.

5a first, solve for x.
5b now solve for y.

Explanation:

Step1: Use the exterior angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. For the smaller triangle, \(66^{\circ}=31^{\circ}+y^{\circ}\).

Step2: Solve for \(y\)

Subtract \(31^{\circ}\) from both sides of the equation \(y = 66 - 31\).

Answer:

\(y = 35\)