Question

please answer this question it is very important​

Answer 1

• Value of x is 18°.

Step-by-step explanation:

Given:-

• (4x + 4)° and (6x - 4)° are two supplementary angles.

To find:-

• Value of x.

Solution:-

We know that,

Sum of the supplementary angles is 180°.

So,

➝ (4x + 4)° + (6x - 4)° = 180°

➝ 4x + 4° + 6x - 4° = 180°

➝ 10x = 180°

➝ x = 180°/10

➝ x = 18°

Verification:-

➝ (4x + 4)° + (6x - 4)° = 180°

• Put x = 18

➝ (4×18 + 4)° + (6×18 - 4)° = 180°

➝ 76° + 104° = 180°

➝ 180° = 180°

Hence, Verified.

Therefore,

Value of x is 18°.

Answer 2

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 ,

• 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 ,

• $\pink{\sf{\implies { (4×18 + 4)+(6×18 -4) = \: 180⁰}}}$
• $\pink{\sf{\implies { 76+104 = \: 180⁰}}}$
• $\pink{\sf{\implies { 180⁰= \: 180⁰}}}$

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

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

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