QuestionFind $m \angle A B E$ given $m \angle A B E=(2 n+7)^{\circ}$ and $m \angle E B F=(4 n-13)^{\circ}$. Also, find $m \angle E B H$ if $m \angle E B H=(6 x+12)^{\circ}$ and $m \angle H B C=(8 x-10)^{\circ}$.

Studdy Solution
Substitute $x =11$ into the expression for $m \angle B H$ to find the measure of $\angle EBH$.
$$m \angle B H = (6 \cdot11+12)^{\circ} =78^{\circ}$$The measure of $\angle ABE$ is $27^{\circ}$ and the measure of $\angle EBH$ is $78^{\circ}$.