Question

Angle A is 21 less than twice as large as its supplement, Angle B. Find the measure of each angle.

Answer 1

PLEASE HELP ME!! FOR FAN AND MEDAL

Answer 2

First you need to try to understand what they are saying. Start with What is a supplementary angle?

Answer 3

A supplementary angle is an angle that adds up to 180 degrees

Answer 4

Yes so you know that Angle A and Angle B is equal to 180 degrees right?
Now you need to make an equation
2x-21+x=180

Answer 5

Okay so I think I understand it from here.

2x-21+x=180
+21 +21
2x+x=180
3x=180
-------
3
x=60

Answer 6

You are on the right track but you forgot to add the 21 so it would look like this
2x-21+x=180
+21 + 21
2x+x=201
3x=201
x=67

Answer 7

Now remember we were solving x and we are not done yet

Answer 8

Sorry I'm tired. Haha. I know that's the right process. I just overlooked it. THanks for pointing it out though

Answer 9

Lol its okay :) i know how you feel im just getting over the flu!

Answer 10

So now to finish it its
Angle A= 2x-21
Angle B= x

Answer 11

Then you are done! One problem that is over with!

Answer 12

Thanks! I have a couple more. Do you think you might be able to help?

Answer 13

Absolutely! and Welcome!:)

Answer 14

Gimme one second and I'll figure out which ones I need help with

Answer 15

Lol ill be here probably!

Answer 16

Angle A is congruent to its supplement, Angle B.

Answer 17

okay is that the whole question?

Answer 18

Yes

Answer 19

Oh okay so since its congruent its the same right? So it would just be \[180\div2\]

Answer 20

So 90? seems too easy. Lol

Answer 21

lol thats what i thought! Thats why i asked if that was the whole question

Answer 22

Thats all thats there. :) Haha. The next question is Angle A is 18 more than five times its complement Angle B

Answer 23

Hahahaha! Okay back to buisness... you know what a complement is right?

Answer 24

90 degree measurement?

Answer 25

yes its two angles that add up to 90 degrees! so
5x+18+x=90

Answer 26

So x=12?

Answer 27

12? i got 18..
5x+18+x=90
6x+18=90
6x=108
x=18

Answer 28

Then to finish it:
Angle A= 5x+18
Angle B= x

Answer 29

But since in the original equation 18 is positive, wouldn't you subtract it to balance both sides?

Answer 30

Omg! i feel so stupid yes you are correct! Im so sorry!! Ahh!!

Answer 31

No problem. I've made the same mistake before. :) I appreciate your help. :)

Answer 32

Lol welcome! Even though i messed up!

Answer 33

Is there any more?

Answer 34

No not on this assignment. But what would the equation be now that I know x=12?

Answer 35

Angle A should be 78 degrees and Angle B should be 12 degrees

Answer 36

Thanks!

Answer 37

Welcome! Im happy to help! :)