Question

Solve for x. x-6 8x + 24

Answer 1

x = 18

Explanation:

The 2 angles lie on a straight line and sum to 180° , then

x - 6 + 8x + 24 = 180

9x + 18 = 180 ( subtract 18 from both sides )

9x = 162 ( divide both sides by 9 )

x = 18

Answer 2

`\sf \bf {\boxed {\mathbb {TO\:FIND :}}}`

The value of
`x`.

`\sf \bf {\boxed {\mathbb {SOLUTION:}}}`

`\implies {\blue {\boxed {\boxed {\purple {\sf { x\:=\:18}}}}}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

We know that,

`\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}`

➪
`x` - 6 + 8
`x` + 24 = 180°

➪ 9
`x` + 18 = 180°

➪ 9
`x` = 180° - 18

➪ 9
`x` = 162

➪
`x` =
`(162)/(9)`

➪
`x` = 18

Therefore, the value of
`x` is 18.

Now, the two angles are:-

1. (
   `x` - 6 ) = ( 18 - 6 ) = 12°
2. ( 8
   `x` + 24 ) = ( 8 x 18 + 24 ) = 144 + 24 = 168°

`\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}`

✒ 12° + 168° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

`\sf\blue{Hence\:verified.}`

`\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}`