Question

Find the value of x.


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@Hero

Answer 1

exterior angle equals sum of interior opposites

Answer 2

Have a clue on how to set it up?

Answer 3

not really thats my issue

Answer 4

@YanaSidlinskiy

Answer 5

Just Like CrashOnce said, "exterior angle equals sum of interior opposites".
That means:
\(\huge{2x-11+2x+7=100}\)
Can you solve it?

Answer 6

Yeah.

Answer 7

you combine like terms. the you are left with

4x-4=100
4x=104
x = 26

Answer 8

is that right?

Answer 9

Is that one of your answers?

Answer 10

its not.

Answer 11

i saw where i messed up. instead of it being seven alone it would be 27

Answer 12

so the complete formula would be
2x-11+2x+27=100

Answer 13

so again you combine like terms and this time it would be.
4x+16= 100
4x= 84
x=21
and that is one of my answers

Answer 14

No, you're good.

Answer 15

Oh, great. Some explpaining. \(\huge{\uparrow}\)

Answer 16

The sum of angles in a triangle equals 180º
The sum of 2 supplementary angles is (also) 180º.

So, the angle next to 100º, is 180-100. Which is same as 80º

\(\normalsize\color{black}{ \color{blue}{2x-11}+\color{red}{2x+27}+\color{green}{80} =180 }\)

I colored the angles.

Answer 17

Oh yea...Kind of forgot that..

Answer 18

so 21 isn't the answer?

Answer 19

So, after adding like terms

\(\normalsize\color{black}{ \normalsize\color{ black }{\normalsize {\bbox[5pt, cyan ,border:2px solid white ]{ 2x }}} \normalsize\color{ black }{\normalsize {\bbox[5pt, yellow ,border:2px solid white ]{ -11 }}}+ \normalsize\color{ black }{\normalsize {\bbox[5pt, cyan ,border:2px solid white ]{ 2x }}}+\normalsize\color{ black }{\normalsize {\bbox[5pt, yellow ,border:2px solid white ]{ 27 }}}+\normalsize\color{ black }{\normalsize {\bbox[5pt, yellow ,border:2px solid white ]{80 }}} =180 }\)

Answer 20

So, you will get 4x+96=180

Answer 21

divide by 4 on both sides, and subtract from both sides.

In any order you like

Answer 22

oh it would still be 21..

Answer 23

because 180-96= 84
then divide by 4 and you get 21

Answer 24

yes

Answer 25

thank you!

Answer 26

yw