Question

∠A and ∠B are vertical angles. If m∠A = (7x-6)° and m∠B = (8x-27)°, then find the measure of ∠B

Answer 1

Vertically opposite angles are equal

Therefore,

$\begin{gathered} \angle A=\angle B \\ m\angle A=7x-6 \\ m\angle B=8x-27 \\ 7x-6=8x-27 \\ 7x-8x=-27+6 \\ -x=-21 \\ x=21 \\ \angle B=8(21)-27=168-27=141\text{ degre}e \end{gathered}$