Question

a side of the triangle below has been extended to form an exterior angle of 126°. find the value of x. 16° x° 126°

Explanation:

Step1: Use the exterior angle property of a triangle

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

Step2: Solve for \(x\)

Subtract \(16^{\circ}\) from both sides of the equation:
\(x = 126 - 16\)
\(x = 110\)

Answer:

\(x = 110\)