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?
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.