Question

a side of the triangle below has been extended to form an exterior angle of 115°. find the value of x.

Explanation:

Step1: Recall angle - sum property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, the exterior angle is \(115^{\circ}\), and the two non - adjacent interior angles are \(x^{\circ}\) and \(90^{\circ}\). So, \(x + 90=115\).

Step2: Solve for \(x\)

Subtract 90 from both sides of the equation \(x + 90=115\). We get \(x=115 - 90\).

Answer:

\(x = 25\)