Question

a side of the triangle below has been extended to form an exterior angle of 61°. 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, $x + 46^{\circ}=61^{\circ}$.

Step2: Solve for x

Subtract $46^{\circ}$ from both sides of the equation: $x=61^{\circ}- 46^{\circ}$.

Answer:

$15^{\circ}$