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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

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or  5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.

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