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