Math, asked by Rahulsharma02, 6 months ago

Show that each angle of a rectangle is a right angle.​

Answers

Answered by ayushbhardwaj795
0

Answer:

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Answered by ItzSnowFall
14

Answer:

Given: A rectangle ABCD.

To prove: ∠A + ∠B + ∠C + ∠D = 90°

Proof: ABCD is a rectangle.

⇒ ABCD is a ||gm.

⇒ AD || BC

∴ ∠A + ∠B = 180°

⇒ 90° + ∠B = 180°

⇒ ∠B = 90°

Similarly, ∠C = 90° and ∠D = 90°.

Hence, ∠A = ∠B = ∠C = ∠D = 90°.

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