Question

question a side of the triangle below has been extended to form an exterior angle of 64°. 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.
Let the non - adjacent interior angles be $x$ and $40^{\circ}$, and the exterior angle be $64^{\circ}$. So, $x + 40^{\circ}=64^{\circ}$.

Step2: Solve for $x$

Subtract $40^{\circ}$ from both sides of the equation: $x=64^{\circ}- 40^{\circ}$.

Answer:

$24^{\circ}$