Question

if one of the four angle is right angle ,then show that each of the four angles is a right angle

Answer 1

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Answer 2

$\underline \mathbb{SOLUTION}$

$\bold\green{\underline{Given\:that:-}}$

∠AOC = 90°

∠AOC = ∠BOD = 90° [Since,they are vertically opposite angles.]

Taking AOB

∠AOC + ∠BOC = 180°

》90 + ∠BOC = 180° [since,they are linear pair]

∠BOC = 180°-90°

= 90°

∠BOC = ∠AOD [Since,vertically opposite angles]

∠AOC = ∠BOC = ∠BOD = ∠AOD = 90°

$\bold\red{\underline{Hence\:proved}}$

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