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?
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.