Question

for exercises 7–12,7.find the value of $x$ in the triangle with interior angles $38^\circ$ and $70^\circ$, where $x^\circ$ is an exterior angle of the triangle.

Explanation:

Step1: Find the interior angle adjacent to $x$

First, calculate the unknown interior angle of the triangle. The sum of angles in a triangle is $180^\circ$.
Let the unknown interior angle be $y$.
$y = 180^\circ - 70^\circ - 38^\circ = 72^\circ$

Step2: Calculate $x$ using linear pair

$x$ and $y$ form a linear pair (sum to $180^\circ$).
$x = 180^\circ - y = 180^\circ - 72^\circ$

Answer:

$108^\circ$