Question

a side of the triangle below has been extended to form an exterior angle of 134°. 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

Let the two non - adjacent interior angles be \(17^{\circ}\) and \(x^{\circ}\), and the exterior angle be \(134^{\circ}\). So, \(17 + x=134\).

Step3: Solve for \(x\)

Subtract \(17\) from both sides of the equation: \(x = 134−17\).
\(x = 117\)

Answer:

\(117\)