Question

a side of the triangle below has been extended to form an exterior angle of 71°. find the value of x.

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. Here, \(x + 49^{\circ}=71^{\circ}\)

Step2: Solve for \(x\)

Subtract \(49^{\circ}\) from both sides of the equation: \(x=71^{\circ}- 49^{\circ}\)

Answer:

\(x = 22^{\circ}\)