Question

a side of the triangle below has been extended to form an exterior angle of 134°. f of x. answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. Let the non - adjacent interior angles be \(x\) and \(116^{\circ}\), and the exterior angle be \(134^{\circ}\). So, \(x + 116^{\circ}=134^{\circ}\).

Step2: Solve for \(x\)

Subtract \(116^{\circ}\) from both sides of the equation \(x + 116^{\circ}=134^{\circ}\). Then \(x=134^{\circ}-116^{\circ}\).

Answer:

\(x = 18\)