Question

a side of the triangle below has been extended to form an exterior angle of 76°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

We have the exterior angle of 76° and two non - adjacent interior angles, one is 52° and the other is \(x\). So, \(x + 52=76\).

Step3: Solve for \(x\)

Subtract 52 from both sides of the equation: \(x=76 - 52\).

Answer:

24