Question

The diagonals of a rhombus
bisect each other at which degree​

Answer 1

Answer:

90

Step-by-step explanation:

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Answer 2

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Let ABCD is a rhombus.

⇒ AB=BC=CD=DA [ Adjacent sides are eqaul in rhombus ]

In △AOD and △COD

⇒ OA=OC [ Diagonals of rhombus bisect each other ]

⇒ OD=OD [ Common side ]

⇒ AD=CD

∴ △AOD≅△COD [ By SSS congruence rule ]

⇒ ∠AOD=∠COD [ CPCT ]

⇒ ∠AOD+∠COD=180°

[ Linear pair ]

⇒ 2∠AOD=180°

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∴ ∠AOD=90°

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Hence, the diagonals of a rhombus bisect each other at right angle.