Question

find x.
x =

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. Let the exterior angle be $98^\circ$, one interior angle is $30^\circ$, and the other is $33^\circ + x^\circ$.
$98^\circ = 30^\circ + 33^\circ + x^\circ$

Step2: Calculate sum of known angles

Add $30^\circ$ and $33^\circ$.
$30^\circ + 33^\circ = 63^\circ$

Step3: Solve for x

Subtract the sum from $98^\circ$.
$x^\circ = 98^\circ - 63^\circ$

Answer:

$35$