Question

plzzzz help me ?????​

Answer 1

Correct Question:-

• If the angles (4x + 4) ⁰ and (6x - 4)⁰ are the supplementary angles , Find the value of x .

AnswEr :-

• $\boxed{\purple{\sf{\star{The \:value\: of \: x\: is \:-:18 \:⁰ }}}}$

Explanation:-

Given ,

• value of c

To Find ,

• Value of x .

Solution:-

• ☆ As , We know that ,

☆ Figure 1

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){ \underline{\boxed{\large\sf a + b = 180^{\circ}} }}\put(4.5,1.3){ \sf a^{\circ} }\put(5.7,1.3){ \sf b^{\circ} }\end{picture}$

$\boxed{\blue{\sf{\star{The \:sum\:of\: Supplementary \: angle\: is \:-:180⁰ \:cm\: (Figure\:1) }}}}$

Here ,

(4x + 4) ⁰ and (6x - 4)⁰ are the supplementary angles

The sum of the angle are 180⁰ .

Now ,

$\pink{\sf{\implies { (4x + 4)+(6x -4) = \: 180⁰}}}$

$\pink{\sf{\implies { 4x + 4+6x -4 = \: 180⁰}}}$

$\pink{\sf{\implies { (10x = \: 180⁰}}}$

$\pink{\sf{\implies { x= \frac {180}{10}}}}$

$\pink{\sf{\implies { x = \: 18⁰}}}$.....[1]

Hence ,

$\boxed{\purple{\sf{\star{The \:value\: of \: x\: is \:-:18 \:⁰ }}}}$

_________________________________________

♤ | Verification | ♤

$\boxed{\blue{\sf{\star{The \:sum\:of\: Supplementary \: angle\: is \:-:180⁰ \:cm }}}}$

Here ,

(4x + 4) ⁰ and (6x - 4)⁰ are the supplementary angles.

Value of x is 18⁰ .........[From 1]

Now ,

$\pink{\sf{\implies { (4×18 + 4)+(6×18 -4) = \: 180⁰}}}$

$\pink{\sf{\implies { 76+104 = \: 180⁰}}}$

$\pink{\sf{\implies { 180⁰= \: 180⁰}}}$

$\boxed{\purple{\sf{\star{Therefore \: ,LHS \:= \:RHS }}}}$

$\boxed{\green{\sf{\star{Hence \: ,Verified \:! }}}}$

Answer 2

Answer:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered} \bf \underline \purple{Question : - } \\ \end{gathered}$

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x.

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \underline \purple{Answer : - }$

• Supplementary angle is 180°

$\bf{According \: to \: question,}$

$\begin{gathered} \bf \implies \: (4x + 4) + (6x - 4) = 180 \degree \\ \\ \bf \implies \:4x + 4 + 6x - 4 = 180 \degree \\ \\ \bf \implies \:4x \: \cancel { + 4} + 6x \: \cancel{ - 4} = 180 \degree \\ \\ \bf \implies \:10x = 180 \degree \\ \\ \bf \implies \:x = \frac{180}{10} \\ \\ \bf \implies \:x = 18 \degree\end{gathered}$

$\sf \large\therefore value \: of \: x \: is \: 18°$

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