Two adjacent angles form a resulting angle with measure 160 degrees. M<1=3x and m<2=(2x+10). Silve for x what are the two unknow angle measurements

1 answer

Since two adjacent angles form a resulting angle with a measure of 160 degrees, we have:

3x + (2x + 10) = 160

Combining like terms:

5x + 10 = 160

Subtracting 10 from both sides:

5x = 150

Dividing both sides by 5:

x = 30

Therefore, the measure of angle 1 is 3x, so angle 1 = 3(30) = 90 degrees.

The measure of angle 2 is 2x + 10, so angle 2 = 2(30) + 10 = 70 degrees.