two adjacent angles form a resulting angle measure 160 degree m 1= 3x degree and m 2 =(2x+10) degree solve for x what are the two unknown angles degree measurement?

Answer 1

To solve for x, we can set up an equation using the fact that the sum of the two adjacent angles equals 160 degrees:

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

Now that we have found x, we can substitute it back into the expressions for angle 1 and angle 2:

Angle 1: 3x = 3(30) = 90 degrees
Angle 2: 2x + 10 = 2(30) + 10 = 60 + 10 = 70 degrees

Therefore, the two unknown angles have measurements of 90 degrees and 70 degrees when x equals 30.