Question

Find the measure of angle C.
https://static.k12.com/eli/bb/343/4_23944/2_15030_6_23950/99096c966048557c059b5bc1ba6beb5aa918efc4/media/209e46c62fe9c47f1e01932adabdedbe2bede865/mediaasset_649855_1.gif

Answer 1

@3mar help

Answer 2

So we know that the angles of a triangle add up to 180 degrees. So Add all three of them together, combine like terms, and set it equal to 180. Then solver for x. once you have x, plug it into the equation for angle C.

Answer 3

do you know the sum of angles measure of a triangle equal how many ?

Answer 4

nice work royalranger

Answer 5

180 I know that but how would I set it up

Answer 6

yes this is the way to solve it easy

Answer 7

or plug x in

Answer 8

assume these 3 angle measure and make them equal 180 from what you can calculi the value of x

than you get it just substitute this value of x in this expression of angle measure of angle C and so will get how many is the angle measure of angle C

Answer 9

Step 1: (8x+3) + (5x+15) + (7x+2) = 180

Answer 10

uh huh

Answer 11

distribute the parentheses assume the same terms so what will get ?

Answer 12

ok please don't make me feel dumb but what is distribution well remind me

Answer 13

8x+3 +5x+15 +7x+2 = 180

so bc. in front or next of these parentheses not is nothing to multiply or divide them so this mean that this distribution is just eliminate simple these parentheses

Answer 14

right ?

Answer 15

oh yeah

Answer 16

ok. so than you assume the same terms what will get ?

Answer 17

do I add all the x's

Answer 18

on the left part

Answer 19

yes and the terms without x too

Answer 20

oh so I add every thing

Answer 21

no

the terms with x add them and separate the terms without x too

ok. ?

Answer 22

oh ok

Answer 23

so x =20

Answer 24

are you sure ? please show your work

Answer 25

8+3 =11+7 =18 ugh sorry I'm in a hurry

Answer 26

8x+3 +5x+15 +7x+2 = 180

8x+5x+7x=?

Answer 27

and separate 3+15+2 = ?

but dont forget the right side there is again this 180

Answer 28

I'm confused x =20 right and the numbers without x add up to 20 to

Answer 29

no x not is equal 20


ok. step by step

20x+20 = 180

Answer 30

that would be 40x but you said x isn't 20

Answer 31

why 40x ?

20x+20 you not can assuming never

bc these are same with 20 apples + 20 melons = ?

Answer 32

oh then would I divid them

Answer 33

first you need understanding that on the right side we get 20x+20

yes ?

Answer 34

sorry on the left side

Answer 35

bc. on the right side there is 180

Answer 36

so

20x +20 =180 now subtract from both sides 20 so what will get ?

Answer 37

ohhhhhhhhhh 160 divided by 20 and that equals 8

Answer 38

ok. but what is this 8 ?

Answer 39

160 /20 =8

Answer 40

its your x

Answer 41

step by step please

20x+20=180

Answer 42

yes sure x=8

so now how you get the measure value of angle C ?

Answer 43

angle C has a measure of (5x+15) yes ?

Answer 44

oh I got this 180=15+5x
180-15 =175 /5=35x

Answer 45

why so ? not is right

you have got the value of x so x = 8

and you know that the angle C has a measure value of 5x+15

just you need substituting the value of x inside this expression of 5x+15 and will get the angle measure of C

ok. ?

Answer 46

wait so is angle c 35

Answer 47

why 35 ? how you get this 35 ?

3x+15 = ? than you substitute the 8 in place of x

Answer 48

sorry i ve wrote above 3x but really is 5x +15

Answer 49

hold on 180-15=165thats where I messed up 165/5x=33x

Answer 50

no

you not can using again anywhere this 180 you can forget it now

there above you get the value of x=8

so and from this image you know that the measure of angle C is 5x+15

so now just substitute the value of x so this 8 in place of x inside this expression of angle measure C and will get the really value of measure of angle C

ok. ?

Answer 51

I don't get it can you set it up for me

Answer 52

but do you understand my above wrote idea ?

Answer 53

I think instead 0f 5x its now 8x+15

Answer 54

8x+3 +5x+15 +7x+2 = 180 bc. we know that the sum of angle measures of a triangle is equal 180

assuming the same terms we get

20x +20 =180 subtracting from both sides 20 we get

20x=160

x=8 so now than you see this posted image the angle measure of angle C is 5x+15

yes ? but we know that x=8 so now just substitute the 8 in place of x inside this expression and will get the really value of angle measure of C

angle measure of C = 5x+15 = 5*8 +15 = ?

Answer 55

ill get back to you I got to go alto 5x8=40+15=55 idk what to do with the 5x+15

Answer 56

yes this 55 degrees is the right angle measure of angle C

ok. ?

Answer 57

wait so angle c is 55

Answer 58

yes

Answer 59

55 degrees

Answer 60

thanks hun

Answer 61

yw

was my pleasure

good luck

bye bye

Answer 62

I am sorry for late!
I was not here!

Thank you @jhonyy9