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)

Question

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)

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1 answer
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Answer 1

Bot GPT 3.5 answered
4 months ago

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°.