Question

a side of the triangle below has been extended to form an exterior angle of 153°. 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. In this right - triangle, the exterior angle of 153° is equal to the sum of the right angle (90°) and the angle \(x\). So, \(153^{\circ}=90^{\circ}+x\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation: \(x = 153^{\circ}-90^{\circ}\).

Answer:

\(x = 63^{\circ}\)