Question

Please hellllpppppp!!

Answer 1

The measures of two supplementary angles are in the ratio 2:7. What are the degree measures of the two angles?

Answer 2

The measures of two supplementary angles are in the ratio 2:3. Find their measures.

Step 1. Let 2x be one angle and 3x be the other angle. The ratio of these two angles is 2x/3x=2/3 as given on the problem.

Step 2. The two angles must add up to 180 degrees by definition.

Step 3. Then 2x+3x=180 or 5x=180 which implies that x=36. 2x=72 and 3x=108

Step 4. The angles are then 72 degrees and 108 degrees. Note the two angles add up to 180 and their ratio is 72/108=2/3 satisfying the problem statement.

Answer 3

I'm terrible at math can we work this out step by step together?

Answer 4

give me just one sec i need to finish my homework first

Answer 5

Alright please help as soon as you can

Answer 6

oh i got this, it has to add to 180 so 2x+7x=180

Answer 7

so x must be 20 thus the angles are 40 and 140

Answer 8

How do you know that x=20?

Answer 9

Wouldn't the angles be 85.5?

Answer 10

2x+7x=180 right? so 9x=180 so x=20... the two angle 2x=40(deg) 7x=140(deg)

Answer 11

Ah Im sorry but im so lost. I get where the nine comes from but where does the 20 come from?

Answer 12

2x would be 72, 3x would be 108 add those two together you get 180

Answer 13

Which one is right?

Answer 14

umm well neuronerd has the right idea but the way he calculated it im not to sure

Answer 15

well about his anyway

Answer 16

Zak, why are you using a 2:3 ratio?

For mumford's 2:7 ratio lets break it down-
the first angle is 2 times some number x
the second angle is 7 times some number x
the definition of supplementary is that the angle add to give 180 degrees
so since the we figure out the two angle are 2x and 7x then 2x+7x=180

Do you agree with this?

at this point do some simple algebra to get 9x=180 and simply to x=20
thus 2x=2*20=40 and 7x=7*20=140

make sure this is right because the resulting numbers should follow the same ratio

2:7 same as 40:140, so this is your check that you got the correct answer

Answer 17

for a 2:3 ratio of supplementary angles, the correct answer is 72:108
since 5x=180 x=32
36*2= 72
32*3=108

Answer 18

Sounds good to me thanks:)