wo adjacent angles, angle 1 and angle 2, form a resulting angle with a measure of 135° . If the measure of angle 1 = (2x)° and the measure of angle 2 is (2x+7)° , what are the two unknown angle measures?(1 point) Responses Angle 1 is 71° and angle 2 is 32° . Angle 1 is 71 degrees and angle 2 is 32 degrees. Angle 1 is 67.5° and angle 2 is 67.5° . Angle 1 is 67.5 degrees and angle 2 is 67.5 degrees. Angle 1 is 32° and angle 2 is 103° . Angle 1 is 32 degrees and angle 2 is 103 degrees. Angle 1 is 64° and angle 2 is 71° .
To find the unknown angle measures, we can set up an equation based on the information given:
Angle 1 + Angle 2 = Resulting Angle
(2x)° + (2x + 7)° = 135°
Combine like terms:
4x + 7 = 135
Subtract 7 from both sides:
4x = 128
Divide both sides by 4:
x = 32
Now we can substitute x back into the expressions for the angle measures:
Angle 1 = (2x)° = 2(32)° = 64°
Angle 2 = (2x + 7)° = 2(32) + 7° = 71°
Therefore, the two unknown angle measures are: Angle 1 is 64° and angle 2 is 71°.