Question

Solve for x and then find the measure of angle A
Angle A=

Answer 1

A and B are alternate angles, so they have the same value as each other.
This means we make and solve an equation:

5x - 18 = 3x + 42
5x = 3x + 60 (add 18 to both sides to get 5x alone)
2x = 60
x = 30 degrees.

Now that we know what x is, we can substitute it into the equation for A:

5x - 18 = <A
5 * 30 - 18 = <A
132 = <A

Answer 2

<A = <B
5x - 18 = 3x + 42
2x = 60
x = 30

<A = 5(30) - 18 = 132