Two adjacent angles form a resulting angle with measure 160m 1 = 3x. and m2 = (2x + 10). Solve for x. What are the two unknown angles' measurements?

Answer 1

To find the value of x, we can set up an equation using the fact that the sum of the two adjacent angles is equal to 160:

3x + 2x + 10 = 160
5x + 10 = 160
5x = 150
x = 30

Now that we have found the value of x, we can find the measurements of the two angles:

m1 = 3x = 3(30) = 90
m2 = 2x + 10 = 2(30) + 10 = 70

Therefore, the two unknown angles' measurements are 90 and 70.