∠a∠a and ∠b∠b are vertical angles with m∠a=xm∠a=x and m∠b=5x−80m∠b=5x−80 . what is m∠am∠a ?

Vertical angles are  the pairs of opposite angles made by two intersecting lines. One interesting feature of these angles is that they have equal measurements. Therefore we can solve m∠A as follows:

m∠A = m∠B
x = 5x - 80
6x = 80
x = 40/3

m∠A = 40/3