To adjacent angles from resulting angle with measures of 160° M angle 1 equals 3X degrees and M angle 2 equals 2X +10° solve for X what are the two Unknown angle measurements

1 answer

Let's set up an equation based on the information given:

M angle 1 = 3X
M angle 2 = 2X + 10

As the sum of adjacent angles is 160°, we have:

M angle 1 + M angle 2 = 160

Substitute the given values for M angle 1 and M angle 2:

3X + 2X + 10 = 160

Combine like terms:

5X + 10 = 160

Subtract 10 from both sides:

5X = 150

Divide by 5:

X = 30

Now we can find the measurements of the two unknown angles:

M angle 1 = 3X = 3(30) = 90 degrees
M angle 2 = 2X + 10 = 2(30) + 10 = 70 degrees

Therefore, the two unknown angle measurements are 90° and 70°.