Question

Solve for x. x-6 8x + 24

Answer 1

Answer:

x = 18

Step-by-step 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

➪ $x$ = $\frac{162}{9}$

➪ $x$ = 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.

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

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