Question

a side of the triangle below has been extended to form an exterior angle of 124°. 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. In this right - triangle, one non - adjacent interior angle is $90^{\circ}$ and the other is $x$, and the exterior angle is $124^{\circ}$. So, $x + 90^{\circ}=124^{\circ}$.

Step2: Solve for $x$

Subtract $90^{\circ}$ from both sides of the equation: $x=124^{\circ}-90^{\circ}$.
$x = 34^{\circ}$

Answer:

$34$