Question

a side of the triangle below has been extended to form an exterior angle of 134°. find the value of x. answer attempt 2 out of 2 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 of the non - adjacent interior angles is $x$ and the other is $90^{\circ}$, and the exterior angle is $134^{\circ}$. So, $x + 90^{\circ}=134^{\circ}$.

Step2: Solve for $x$

Subtract $90^{\circ}$ from both sides of the equation: $x=134^{\circ}- 90^{\circ}$.

Answer:

$x = 44$