Question

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

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the exterior angle be \(134^{\circ}\), and the two non - adjacent interior angles be \(17^{\circ}\) and \(x^{\circ}\). So, we have the equation \(17 + x=134\).

Step2: Solve for \(x\)

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

Answer:

\(117\)