Two adjacent angels form a resulting angle with measure 160 .m<1=3x and m<2=(2x+10) solve for x what are the two unknown angels measurements?
We have two adjacent angles (angle 1 and angle 2), and their resulting angle measures 160 degrees.
Let's solve for x using the given information:
m<1 = 3x
m<2 = 2x + 10
Since angle 1 and angle 2 are adjacent, their sum should be equal to the resulting angle measure:
m<1 + m<2 = 160
Substituting the equations for m<1 and m<2:
3x + (2x + 10) = 160
Combining like terms:
5x + 10 = 160
Subtracting 10 from both sides:
5x = 150
Dividing both sides by 5:
x = 30
Now, we can find the measurements of angle 1 and angle 2:
m<1 = 3x = 3(30) = 90 degrees
m<2 = 2x + 10 = 2(30) + 10 = 60 + 10 = 70 degrees
Therefore, angle 1 measures 90 degrees and angle 2 measures 70 degrees.