Question

a side of the triangle below has been extended to form an exterior angle of 126°. find the value of x.

Explanation:

Step1: Use the exterior angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(16^{\circ}+x^{\circ}=126^{\circ}\)

Step2: Solve for \(x\)

Subtract \(16^{\circ}\) from both sides of the equation:
\(x = 126 - 16\)

Answer:

\(x = 110\)