Question

side of the triangle below has been extended to form an exterior angle of 144°. find the value of x.

Explanation:

Step1: Recall angle - sum property of a straight - line

The sum of adjacent angles on a straight - line is 180°.
Let the exterior angle be 144° and the adjacent interior angle be \(x\). Then \(x + 144^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract 144° from both sides of the equation: \(x=180^{\circ}-144^{\circ}\).

Answer:

\(x = 36\)