Two 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)

Answer 1

Let's set up an equation to solve for x:

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 find the measures of Angle 1 and Angle 2:
Angle 1 = (2x)° = (2*32)° = 64°
Angle 2 = (2x+7)° = (2*32+7)° = 71°

Therefore, Angle 1 measures 64° and Angle 2 measures 71°.