Math, asked by Victor36, 10 months ago

if l and m are two straight line prove that angle1 = angle2 .

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Answered by Anumishi

<1 and <2 are vertically opposite angles..so according to theorem they are equal.Hope u liked the answer

Victor36: can you give proof of this theorm.

Anumishi: Given two lines AB and CD intersect each other at the point O.To prove: ∠1 = ∠3 and ∠2 = ∠4
Proof:
From the figure, ∠1 + ∠2 = 180° [Linear pair] → (1)
∠2 + ∠3 = 180° [Linear pair] → (2)
From (1) and (2), we get
∠1 + ∠2 = ∠2 + ∠3
∴ ∠1 = ∠3
Similarly, we can prove ∠2 = ∠4 also.

Anumishi: Plz repost the question to get the proof so that i can explain you with image

Victor36: i know the answer i just posted it for checking basics thats all.

Victor36: thank you . JAI HIND

Victor36: we will draw angle3 on any one line , angle1 + angle3 =180. also angle 2+ angle3 =180 Therfore angle1 + angle3= angle 2 + angle3. Therfore angle 3 will cut on both side and thus angle1=angle2

Anumishi: yes its correct..you already knew it

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if l and m are two straight line prove that angle1 = angle2 .