Question

a side of the triangle below has been extended to form an exterior angle of 67°. 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.

Step2: Set up the equation

We know that $67^{\circ}=52^{\circ}+x^{\circ}$.

Step3: Solve for x

Subtract $52^{\circ}$ from both sides of the equation: $x = 67 - 52$.

Answer:

$x = 15$