Question

a side of the triangle below has been extended to form an exterior angle of 125°. 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.
$$125^{\circ}=16^{\circ}+x^{\circ}$$

Step2: Solve for \(x\)

Subtract \(16^{\circ}\) from both sides of the equation.
$$x^{\circ}=125^{\circ}-16^{\circ}$$
$$x = 109$$

Answer:

\(109\)