Two adjacent angles, angle 1 and angle 2, form a resulting angle with a measure of 135°135° . If the measure of angle 1 = (2x)°(2x)° and the measure of angle 2 is (2x+7)°(2x+7)° , what are the two unknown angle measures?(1 point)ResponsesAngle 1 is 71°71° and angle 2 is 32°32°.Angle 1 is 71 degrees and angle 2 is 32 degrees.Angle 1 is 67.5°67.5° and angle 2 is 67.5°67.5°.Angle 1 is 67.5 degrees and angle 2 is 67.5 degrees.Angle 1 is 32°32° and angle 2 is 103°103°.Angle 1 is 32 degrees and angle 2 is 103 degrees.Angle 1 is 64°64° and angle 2 is 71°71°.
The measure of angle 1 is given as (2x)°, so we have:
2x = 71
Solving for x, we find:
x = 35.5
Substituting this value back into the expression for angle 1, we have:
angle 1 = (2*35.5)° = 71°
The measure of angle 2 is given as (2x+7)°, so we have:
2x+7 = 32
Solving for x, we find:
x = 12.5
Substituting this value back into the expression for angle 2, we have:
angle 2 = (2*12.5+7)° = 32°
Therefore, the correct answer is:
Angle 1 is 71 degrees and angle 2 is 32 degrees.