Question

Find the measure of Angle 6.

measure of angle 7 = 2x+15
measure of angle 8 = 3x

Answer 1

please help me i very bad at geometry

Answer 2

sure, do you have a pic or is this the whole question?

Answer 3

if there's a pic then could you draw it?

Answer 4

hello?

Answer 5

yes i have to upload the picture it will take a minute

Answer 6

I'll help then, wait a min

Answer 7

ok thank you very much

Answer 8

well, if 7=2x+15, then angle 5 is the same

Answer 9

im trying to find the measure of angle 8

Answer 10

and 6=3x
so is angle 8

Answer 11

yeah, but you need to put it all together

Answer 12

thats the thing i dont understand how to do this im taking this class online

Answer 13

since a whole circle is 360 degrees,

2x+15+2x+15+3x+3x

Answer 14

can you simplify that?

Answer 15

yea

Answer 16

im looking for x right

Answer 17

simplify it

Answer 18

and tell me:)

Answer 19

Look here, what's 3x +3x+2x+2x?

Answer 20

How many x's?

Answer 21

3x^2 + 2x^2 right

Answer 22

so 10x

Answer 23

yea basically

Answer 24

so its 10x=30 which x is equal to 3 right

Answer 25

NO

2 times 15 is 30

so 10x +30= the whole circle, and since a circle has 360 DEGREES

Answer 26

10x +30=360

Answer 27

Do you understand?

Answer 28

yes i understand dat so i would subtract 30 from 360 which is 330 and 330 divided by 10

Answer 29

and what is 330 divided by 10?

Answer 30

It is 3.3

Right?

Answer 31

yes

Answer 32

so x=3.3 Are you following along?

Answer 33

yes

Answer 34

Since you're trying to find angle 8, and angle 8 is 3x, just multiply 3.3(x) times 3

Answer 35

3.3 times 3= 9.9 degrees

Answer 36

ok but angle is obtuse

Answer 37

i mean angle 8 is an obtuse angle

Answer 38

That's true, I'll look at it for a second
:)

Answer 39

okay

Answer 40

x=33

Answer 41

ok so ill fill x into the equation

Answer 42

Okay, tell me what you get:)

Answer 43

If you want I can sum all of it up for you in case you still haven't got the gist:)

Answer 44

so it would be 3 times 33 which is 99

Answer 45

You're correct! Do you want me to sum the question up, like how we solved it?

Answer 46

yes i would like to know how you got 33

Answer 47

sure, i will

Answer 48

ok i have another question how did you get the value of x

Answer 49

First of all, angles 6 and 8 are equal. Angles 5 and 7 are equal too. That's a rule in geometry. If you have four angles formed together like that, then opposite sides are equal

Answer 50

Then, you look at your 2 equations: 7=2x+15 and 8=3x

Answer 51

Double both of those exuations and you will get :

10x +30

Answer 52

Since all of the angles you see added together =360 degrees(because it's a circle)
10x+30+360 degrees

Answer 53

Can you catch on?

Answer 54

i got confused when you said double the equations

Answer 55

okay. lat's get back to there then:)

Answer 56

Do you get that angles 6 and 8 are equal. Angles 5 and 7 are equal too????????

Answer 57

ye

Answer 58

yes i understand that

Answer 59

So to add up all of the angles, you have to do 2x+15+2x+15+3x+3x

Are you catching on?

Answer 60

yes

Answer 61

ok i have another problem i dont understand can you please help me

Answer 62

sure I will help:)

Answer 63

Go on:)

Answer 64

Find the measure of Angle 2.

measure of angle 1 = x
measure of angle 2 = x-6

Answer 65

angle three is equal to 90 degrees so if im right and this a a supplementary angle then the sum would be 180 right

Answer 66

First, you need to know that the whole thing is 180 degrees (half of a circle)

Answer 67

yes i know that the whole thing is 180 and angle 3 is 90 degrees.

Answer 68

wouldnt i divide 90 by 2 since 90 times 2 is 180 and i need to find what equals 90

Answer 69

so 90 +2x-6=180 degrees

That would be my approach:)

Answer 70

Now all you have to do is use algebra to solve this equation

Answer 71

ok

Answer 72

90+2x-6=180
=2x=90
=x=45

I just subtracted 90 on both sides:)

Answer 73

Can you catch on?