Question

a side of the triangle below has been extended to form an exterior angle
find the value of $x$.
answer attempt 2 out of 2
$x = $

Explanation:

Step1: Identify supplementary angle pair

$x + 132 = 180$

Step2: Solve for $x$

$x = 180 - 132$

Answer:

$115$

Note: Alternatively, using the exterior angle theorem: the exterior angle equals the sum of the two remote interior angles. Let the third interior angle be $y$, then $132 = 17 + y$, so $y=115$, and since $x=y$, $x=115$.