Question43. NUMBER SENSE Given $\angle A B C, X$ is in the interior of the angle, $m \angle A B X$ is $12^{\circ}$ more than 4 times $m \angle C B X$, and $m \angle A B C=92^{\circ}$. Find $m \angle A B X$ and $m \angle C B X$.

Studdy Solution
Now, find $m \angle ABX$ using $x = 16^\circ$:
$$m \angle ABX = 4x + 12^\circ$$ $$m \angle ABX = 4 \times 16^\circ + 12^\circ$$ $$m \angle ABX = 64^\circ + 12^\circ$$ $$m \angle ABX = 76^\circ$$
Final Solution: $m \angle ABX = 76^\circ$ and $m \angle CBX = 16^\circ$