Pre Algebra Question

Question

If angle 1 and angle 2 are supplementary angles and the measurement of angle 1 is 12 degrees more than angle 2, what is the measure of each angle.

Answer 1

"supplementary"means that the sum of the angles is 180 degrees.

You are also told that the difference between the angles is 12 degrees.

So, we can write 2 equations:

X + Y = 180

X - Y = 12

Solve this pair of equations using the standard methods. I get X = 96 and Y = 84