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Given: l || m; 1 = 20x + 5; 2 = 24x - 1 Using theorems pertaining to transverals and parallel lines, prove that m∠1 + m∠2 = 180o Find the value of x.

Sagot :

Answer:

The answer to your question would be, x=4.

Step-by-step explanation:

∠1 and ∠2 are interior angles between parallel lines that are on the same side of a transversal, so they are supplementary.

Therefore, (20x+5)+(24x-1) = 180

44x = 176

x=4

I hope this helps! Have a great day! :]

For the given set of parallel lines l and m , value of x is equals to 4.

What are parallel line?

"Parallel lines are such lines which are equidistant from each other and never intersect in the same plane."

According to the question,

l ║ m ,

As per theorem pertaining to transversal and parallel lines ,

∠1 and ∠2 are supplementary if and only if they are interior angles.

m∠1 + m∠2 = 180°                    _____(1)

∠1 = 20x + 5

∠2 = 24x - 1

Substitute the value ∠1 and ∠2 in (1), we get

20x + 5 +24x - 1 = 180°

⇒ 44x + 4 = 180°

⇒ 44x = 176

⇒ x = 4

Hence, for the given set of parallel lines l and m , value of x = 4.

Learn more about parallel lines here

https://brainly.com/question/3346167

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