Two adjacent angels 1 ans 2 form a resuting angle that mesurs 135 if m 1 =(2x) and m 2 = (2x+7) what are the two unkown angle measures?

1 answer

Let the measure of angle 1 be (2x) and the measure of angle 2 be (2x + 7).

Since the resulting angle measures 135 degrees, we have the equation:

(2x) + (2x + 7) = 135

Simplifying the equation:

4x + 7 = 135

Subtracting 7 from both sides:

4x = 128

Dividing both sides by 4:

x = 32

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

Angle 1 = (2x) = 2(32) = 64 degrees
Angle 2 = (2x + 7) = 2(32) + 7 = 64 + 7 = 71 degrees

Therefore, the measure of angle 1 is 64 degrees and the measure of angle 2 is 71 degrees.