Two adjacent angles form a resulting angle with a measure of 160 degrees. m<1=3x degrees and m<2 = (2x +10) degrees. Solve for x. what are the two unknown angles' measurements?
Since we know that the sum of the two adjacent angles equals 160 degrees, we can write the equation:
3x + (2x + 10) = 160
5x + 10 = 160
Subtract 10 from both sides:
5x = 150
Divide both sides by 5:
x = 30
Therefore, the measure of angle 1 is:
3x = 3(30) = 90 degrees
And the measure of angle 2 is:
2x + 10 = 2(30) + 10 = 60 + 10 = 70 degrees. Answer: \boxed{90\text{ degrees},\,70\text{ degrees}}.