Question

recall that to angles are complementary. if the sum of their measures is 90 degrees. find the measures if one angle is twenty times the other angle.

Answer 1

Let's draw it better, using the variable x:

Answer 2

20x + x = 90. So, solve for x is only step 1. What is x?

Answer 3

70?

Answer 4

Wait... X is not 70, do you mean the angle 20x?

Answer 5

no im very sorry i was confused i thought the answer is 70

Answer 6

It's fine; I'm here to help. Just gimme a sec...

Answer 7

\[20x +x =90\]
\[\frac{ 21x }{ 21 } = \frac{ 90 }{ 21 }\]

Answer 8

\[x \approx 4\]

Answer 9

So, step 2: substitute x in each angle. Can you solve for 20x given the information?

Answer 10

no

Answer 11

Well, here's a hint:

Answer 12

What's 20*4?

Answer 13

80

Answer 14

\[x=\frac{ 90 }{ 21 }=\frac{ 30 }{ 7 }\]
20x=?

Answer 15

theres no number that goes into 30 and 7 equally

Answer 16

That's why you leave it as 30/7

Answer 17

So, x = 30/7, which is very close to 4.
\[30/7 * 21 = 90\]

Answer 18

4 and 30/7 are acceptable answers. Good job

Answer 19

\[\frac{ 30 }{ 7 }=4\frac{ 2 }{ 7 }\]
it is a real number.

Answer 20

\[20x=20*\frac{ 30 }{ 7 }=?\]

Answer 21

but now im lost as to which number i should use as my larger angle and which i should use as my smaller angle

Answer 22

it is understood 20x>x,x being positive.

Answer 23

second angle=20x=?

Answer 24

\[20x=20*\frac{ 30 }{ 7 }=\frac{ 600 }{ 7 }=85\frac{ 5 }{ 7 }\]

Answer 25

now im even more confused lol

Answer 26

im very sorry

Answer 27

sum of these angles=90
you can check.

Answer 28

\[\frac{ 30 }{ 7 }+\frac{ 600 }{ 7 }=\frac{ 30+600 }{ 7 }=\frac{ 630 }{ 7 }=90\]

Answer 29

im lost but ill figure it out thank you both very much for your help :-)

Answer 30

can you tell me where is the problem?

Answer 31

x is not 70
it is like we say 20 apples+1 apple=21 apples
similarly 20x+1x=21x