2 adjacent angles from a resulting angle with a measure of 160 = 3X and M2 equals 2X plus 10 solve. For x what are the two unknown angle measurements

Answer 1

From the problem statement, we have:
3X + M2 = 160

And we're also given:
M2 = 2X + 10

We can substitute the value of M2 into the first equation to eliminate M2:
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 equation for M2 to find its value:
M2 = 2(30) + 10
M2 = 60 + 10
M2 = 70

Therefore, the two unknown angle measurements are 3X = 3(30) = 90° and M2 = 70°.