Question

question a side of the triangle below has been extended to form an exterior angle of 126°. 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 $90^{\circ}$ (the right - angle in the triangle), and the exterior angle is $126^{\circ}$. So, $x + 90^{\circ}=126^{\circ}$.

Step2: Solve for $x$

Subtract $90^{\circ}$ from both sides of the equation: $x=126^{\circ}-90^{\circ}$.

Answer:

$36^{\circ}$