Respuesta :
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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