SOLUTION: two angles are supplementary. One angle has a measure of 5x+40 and the other has a measure of 2x. What is the measure of the smaller angle? PLEASE I NEED HELP WITH THIS QUESTION I

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Question 219641: two angles are supplementary. One angle has a measure of 5x+40 and the other has a measure of 2x. What is the measure of the smaller angle?
PLEASE I NEED HELP WITH THIS QUESTION I MISSED THIS CLASS .
Found 3 solutions by stanbon, checkley77, jim_thompson5910:
Answer by stanbon(48522) About Me  (Show Source):
You can put this solution on YOUR website!
two angles are supplementary. One angle has a measure of 5x+40 and the other has a measure of 2x. What is the measure of the smaller angle?
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Angles are supplimentary if their sum is 180 degrees.
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So, 5x+40 + 2x = 180 degrees
7x + 40 = 180
7x = 140
x = 20
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angle: 2x = 2*20 = 40 degrees
angle: 5x+40 = 5*20+40 = 140 degrees
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The measure of the smaller angle is 40 degrees.
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Cheers,
Stan H.

Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
2x+5x+40=180
7x=180-40
7x=140
x=140/7
x=20
2*20=40 degrees for the smaller angle.
5*20+40=100+40=140 degrees for the larger angle.
40+140=180
180=180

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
"two angles are supplementary." means that they form a straight line and they add to 180 degrees. Since "One angle has a measure of 5x+40 and the other has a measure of 2x." and we know that these angles are supplementary, this means:

%285x%2B40%29%2B%282x%29=180


5x%2B40%2B2x=180 Remove the parenthesis.


7x%2B40=180 Combine like terms on the left side.


7x=180-40 Subtract 40 from both sides.


7x=140 Combine like terms on the right side.


x=%28140%29%2F%287%29 Divide both sides by 7 to isolate x.


x=20 Reduce.


Now just plug this value back into the given angles:

Angle 1: 5x%2B40=5%2820%29%2B40=100%2B40=140

Angle 2: 2x=2%2820%29=40


So the second angle is the smaller angle which is 40 degrees.