Question

20 POINTS

The answer key says the answer to this question is 70 degrees. However my friend and I both got 50 degrees are we wrong or the answer key. Please explain if we did get it wrong. (No. 25)

Answer 1

50 is correct.

Explanation:

The ratio of the three angles is 4:6:8. You solved correctly for x. Just let me catch up.

4x + 6x +8x = 180 Combine like terms.

18x = 180 Divide by 18

18x/18 = 180/18 Combine

x = 10

You want the smallest angle. When you made the original equation from the proportion, you got 4x.

The smallest angle is 4*x= 4*10 = 40

It's compliment would be 90 - 40 = 50 just as you have it. I have no idea where the 70o comes from.

Answer 2

Explanation:

4x+6x+8x = 180

18x = 180

x = 10

the smallest angle = 40

the complement = 90-40 = 50 degrees

I think you are correct and the answer key is wrong

Trying to work backward from the answer

90-70 =20

the angle would be 20

4: 6: 8

20: 30: 40 this would not make a triangle