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

1 answer

Let's assume that angle 1 measures 3x and angle 2 measures (2x + 10).

We know that the sum of two adjacent angles is equal to the resulting angle:

Angle 1 + Angle 2 = Resulting angle
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 substitute x back into the equations to find the measurements of 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 measurements of angle 1 and angle 2 are 90 degrees and 70 degrees, respectively.