Question

problem 16: (first taught in lesson 31) find x. after you enter your answer press go. 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.

Step2: Set up the equation

Let the exterior angle be $110^{\circ}$, and the two non - adjacent interior angles be $x^{\circ}$ and $72^{\circ}$. So, $x + 72=110$.

Step3: Solve for $x$

Subtract 72 from both sides of the equation: $x=110 - 72$.
$x = 38$.

Answer:

$38$