Question

a side of the triangle below has been extended to form an exterior angle of 126°. find the value of x. answer attempt 1 out of 3 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 triangle, one non - adjacent interior angle is $x$ and the other is $90^{\circ}$, 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:

$36$