Math, asked by kshirodmeher19, 8 months ago

prove that ,In a parallelogram, opposite angles are equal.​

Answers

Answered by dassiddhant4
0

Answer:

all angles are equal cuz they are meant to be superbequal

Answered by BiswaShresikha
1

Answer:

Statement : In a parallelogram, opposite angles are equal.

Given : Parallelogram ABCD

To prove ; ∠A = ∠C and ∠B = ∠D

Proof :

In parallelogram ABCD,

Consider,

AD || BC and AB is transversal

∠A + ∠B = 180° [Co - int. Angles]...... (i)

Now, consider AB || DC and BC transversal

∠B + ∠C = 180° [Co - int. Angles]...... (ii)

From (i) and (ii) we get ;

∠A + ∠B = ∠B + ∠C

∠A = ∠C

∠B = ∠D

Hence, it is proved.

Similar questions