To adjacent angles 1 and 2 form a resulting angle with the measure of 135 if M1 equals 2X and M2 equals 2X plus 7. What are the two unknown angle measures
Let's represent the measure of angle 1 as 2x and the measure of angle 2 as 2x + 7.
According to the problem, the sum of angle 1 and angle 2 is equal to 135 degrees.
So, we can set up the equation: 2x + 2x + 7 = 135
Combining like terms, we get: 4x + 7 = 135
Subtracting 7 from both sides: 4x = 128
Dividing both sides by 4: x = 32
Now, we can substitute the value of x back into the expressions for angle 1 and angle 2.
Angle 1 = 2x = 2(32) = 64 degrees
Angle 2 = 2x + 7 = 2(32) + 7 = 71 degrees
Therefore, angle 1 measures 64 degrees and angle 2 measures 71 degrees.