Question
In the figure given below, l and m are two parallel lines. Which of the following statement is true?
Answer: Option A
:
A
From Euclid's 5th postulate, we know,
"If a straight line falling on two straight lines makes the interior angles on the same side of it taken together is less than two right angles, then the two straight lines, if produced infinitely, meet on that side on which the sum of the angles is less than two right angles."
⇒ If the lines are parallel, the sum of those two angles is 180∘.
∴∠1 + ∠8 = 180∘and∠3+ ∠6= 180∘
Was this answer helpful ?
:
A
From Euclid's 5th postulate, we know,
"If a straight line falling on two straight lines makes the interior angles on the same side of it taken together is less than two right angles, then the two straight lines, if produced infinitely, meet on that side on which the sum of the angles is less than two right angles."
⇒ If the lines are parallel, the sum of those two angles is 180∘.
∴∠1 + ∠8 = 180∘and∠3+ ∠6= 180∘
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution