Question

show that each angle of a rectangle is a right angle​

Answer 1

Answer:

Let, ABCD be a rectangle.

We have to prove that ∠A=∠B=∠C=∠D=90

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We know that a rectangle is parallelogram where its one angle is 90

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.

Let us assume ∠A=90

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Now,

AD∥BC[oppositesidesofaparallelogramareparallel]

And AB is transversal.

So, ∠A+∠B=180

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[interioranglesonthwsamwsideofatransversalaresupplementary]

⇒90

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+∠B=180

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⇒∠B=90

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Again, we know that opposite angles of a parallelogram are equal.

∴∠C=∠A and ∠D=∠B

∴∠C=90

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and ∠D=90

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∴∠A=∠B=∠C=∠D=90

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Hence, it is proved that ABCD is a

Answer 2

Answer:

each angle is 90⁰ and opposite to each other