Question

∠A and ∠B are vertical angles. If m∠A = (2x-4)° and m∠B = (4x-30)°, then find the value of x.

Answer 1

Vertical Angles form when we have a geometric cross.

They are EQUAL.

Thus, we can write:

$\begin{gathered} \angle A=\angle B \\ 2x-4=4x-30 \\ -4+30=4x-2x \\ 26=2x \\ x=\frac{26}{2} \\ x=13 \end{gathered}$