Question

5. For what value of x will the lines I and m be parallel to each other?
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Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is 74.2 & 105.6

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$\huge\sf\blue{Given}$

✭ line L || M

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$\huge\sf\gray{To \:Find}$

◈ The Value of x

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$\huge\sf\purple{Steps}$

Here we see that the given two Angles are corresponding Angles,that. sans they add up to 180°

So as per that condition,

➢ $\sf 3x-5+4x=180^{\circ}$

➢ $\sf 7x = 180+5$

➢ $\sf 7x = 185$

➢ $\sf x = \dfrac{185}{7}$

➢ $\sf\orange{x = 26.4}$

So on substituting the value of x in the given angles

»» (3x-5) = (3(26.4)-5) = 74.2

»» 4x = 4(26.4) = 105.6

Note : These values are approximate cause 185/7 gives us a large decimal

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Answer 2

♻️ QUESTIONS ♻️

For what value of x will the lines I and m be parallel to each other?

♻️ANSWER ♻️

✏️Given

L||M

SOLUTION:

both angles are corresponding angles

so,

corresponding angles are 180°

ACCORDING TO QUESTIONS

$3x - 5 + 4x = 180$

$7x = 180 + 5$

$x = \frac{185}{7}$

$x = 26.4$

✍️So

substituting the value of x in the given angles

✴️3x-5) = (3(26.4)-5) = 74.2

✴️4x = 4(26.4) = 105.6

therefore,

value of both angles are 74.2 and 105.6