Question

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles,

find the value of x.

With step by step explanation

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Answer 1

Answer:

(4x+4) + (6x-4)=180

4x+4) + (6x-4)=180

+4 and -4 cancelled and so 4x+6x=10x

4x+4) + (6x-4)=180+4 and -4 cancelled and so 4x+6x=10x

10x = 180

X= 180/10=18

therefore , X= 18

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Answer 2

✯✯ QUESTION ✯✯

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles,

Find the value of x.

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✰✰ ANSWER ✰✰

$\longmapsto\tt\bold{Angles=(4x+4)\:and\:(6x-4)}$

➮As we know that Sum of Supplementary Angles is 180°...

➥A.T.Q : -

$\longmapsto\tt{4x+4+6x-4=180}$

$\longmapsto\tt{4x+6x+4-4=180}$

$\longmapsto\tt{10x=180}$

$\longmapsto\tt{x=\cancel\dfrac{180}{10}}$

$\longmapsto\tt{\large{\boxed{\bold{\bold{\orange{\sf{x=18}}}}}}}$

☛So , The value of x is 18.

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✔VERIFICATION : -

$\longmapsto\tt{4(18)+4+6(18)-4=180}$

$\longmapsto\tt{72+4+108-4=180}$

$\longmapsto\tt{76+108-4=180}$

$\longmapsto\tt{184-4=180}$

$\longmapsto\tt\bold{180=180}$

✺ HENCE VERIFIED ✺