Question

Please help me with this problem. I don't know where to start!! I'll post the problem below. Thank you so much!!

Answer 1

Can you help me get started??

Answer 2

ill take a look

Answer 3

thanks

Answer 4

Ahh, I can help

Answer 5

First things, you need to find your x, let me ask you, what is the sum of the 3 angles in a triangle?

Answer 6

180

Answer 7

so can you make the equation using angle 2, angle 3 and the 90 angle?(their sum will be 180)

Answer 8

90+3x+1+2x+4=180 ???

Answer 9

yes!

Answer 10

can you find your x from here?give it a try!

Answer 11

90+5x+5=180
95+5x = 180
-95 -95
5x = 85
5x/5 = 85/5
x = 17 ???????

Answer 12

good job, now what is your angle 2?

Answer 13

52 ???

Answer 14

yes! there, you solved the question on your own

Answer 15

Oh thank you so much!!

Answer 16

As an additional exercise, try to find angle 3 and 1 :)

Answer 17

let me know if you have any trouble

Answer 18

3 is 38 ??

Answer 19

yes :)

Answer 20

How do you think you'll find angle 1 now?

Answer 21

I think 1 = 3 and 4 ??????

Answer 22

what do you mean?

Answer 23

I thought when the line kept going, it equals the sum of 3 and 4 ????

Answer 24

I can't exactly understand but there are 2 way of finding 1 here
let me ask you, have you heard about either of these
1.Supplementary angles
2.Exterior angle property

Answer 25

Supplementary angles

Answer 26

yeah, what are those?

Answer 27

I think that is what I was talking about, but I could be wrong. two angles add up to 180??

Answer 28

Yes, two angles are supplementary if their sum is 180, do you think angle 1 and angle 2 are supplementary?why?why not?

Answer 29

so 1 is 180
1 is supplementary of 3 and 4
the sum of 3 and 4 ???

Answer 30

I mean, angle 1 and angle 2 are supplementary, that is
\[\angle1 + \angle2=180\]
Do you know, why?

Answer 31

both are 90 angles ??

Answer 32

No, 2 is not 90, you calculated 2 just a little time ago, it was 52 wasn't it?

Answer 33

oh yeah

Answer 34

If angle 2 is 52, can you calculate angle 1?try

Answer 35

180-52 = 128

Answer 36

Great, you've found all the angles

Answer 37

yay! Thank you so much!!!

Answer 38

:)