Question

a side of the triangle below has been extended to form an exterior angle of 126°. find the value of x. answer|attempt 2 out of 2 x = 103 submit answer

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the non - adjacent interior angles be $23^{\circ}$ and $x^{\circ}$, and the exterior angle be $126^{\circ}$. So, $23 + x=126$.

Step3: Solve for $x$

Subtract 23 from both sides of the equation: $x = 126−23$.
$x = 103$.

Answer:

$103$