Question

a side of the triangle below has been extended to form an exterior angle of 67°. 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.
$$67^{\circ}=19^{\circ}+x^{\circ}$$

Step2: Solve for \(x\)

Subtract \(19^{\circ}\) from both sides of the equation.
$$x = 67 - 19$$
$$x=48$$

Answer:

\(48\)