Question

a side of the triangle below has been extended to form an exterior angle of 76°. 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.
So, \(76^{\circ}=x + 51^{\circ}\).

Step2: Solve for \(x\)

Subtract \(51^{\circ}\) from both sides of the equation: \(x=76^{\circ}- 51^{\circ}\).

Answer:

\(25^{\circ}\)