Question

the measures of the angles of a triangle are in the ration 1:4:7. what are the measures of the angles?

Answer 1

Well, we know that all triangles add up to 180 degrees right?

Answer 2

yes

Answer 3

so can you set up an equation given your ratios and the knowledge that they all add up to 180?

Answer 4

need just an example to know how ..to follow..not sure how to set up the equation and I remember I need to solve x

Answer 5

x+4x+7x=180

Answer 6

do you understand how I did that?

Answer 7

I did get this far just not sure where to go ..the numbers are representing theangles but there is where I get lost.

Answer 8

you then combine like terms\[12x = 180\]

Answer 9

because 1+4+7=12

Answer 10

ok that looks easy

Answer 11

x+4x+7x = 180 12+48x+84x=180 ??

Answer 12

um

Answer 13

lol sorry, no

Answer 14

not sure where to go and how to get the 180..

Answer 15

the first equation is correct. and if you simplify it you get 12x=180

Answer 16

then how do you find x?

Answer 17

not sure

Answer 18

algebra mannnn \[x=\frac{ 180 }{ 12 }\] x= 15

Answer 19

right?

Answer 20

thxs i can no do the remain problems

Answer 21

but, we're not done yet, the problem asks for all the angles

Answer 22

and since x=15 that's just the first the ratio is 1:4:7, so what are the rest?

Answer 23

2:6:11

Answer 24

x =21/180 x =8.57 2(8.57)+6(8.57)+11(8.57) 17.14 +51.42 + 94.27 = 180

Answer 25

have the right idea sir

Answer 26

however, you added wrong. 2+6+11=19 180/19 = 9.474 the rest of what you did was right