4. Two adjacent angles, angle 1 and angle 2, form a resulting angle measuring 110 degrees. The measure of angle 1 is 3x and the measure of angle 2 is (3x-10). What are the measures of angles 1 and 2?

Answer 1

Let's set up an equation using the information provided:

3x + (3x-10) = 110
6x - 10 = 110
6x = 120
x = 20

Therefore, the measure of angle 1 is:
3(20) = 60 degrees

And the measure of angle 2 is:
3(20)-10 = 60-10 = 50 degrees

So, angle 1 measures 60 degrees and angle 2 measures 50 degrees.