Asked by ..l
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
Answers
Answered by
GPT 3.5
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.
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.