Question

a side of the triangle below has been extended to form an exterior angle of. find the value of $x$. answer attempt 1 out of 2 $x = $

Explanation:

Step1: Find adjacent interior angle

The exterior angle is $130^\circ$, so the adjacent interior angle is $180^\circ - 130^\circ = 50^\circ$.

Step2: Sum of triangle angles is $180^\circ$

Use the triangle angle sum theorem: $x + 115^\circ + 50^\circ = 180^\circ$.

Step3: Solve for $x$

Calculate $x = 180^\circ - 115^\circ - 50^\circ$.

Answer:

$15$