Math, asked by AloneUtsav12, 3 months ago

please solve question no 15​

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Answered by PrixitKumar
1

Answer:plz releate it

Step-by-step explanation:

We know that ABCD is a parallelogram whose diagonals intersect each other at O

Consider △AOE and △COF

We know that ∠CAE and ∠DCA are alternate angles

From the figure we know that the diagonals are equal and bisect each other

AO=CO

therefore it is proved that OE=OF

We know that ∠AOE and ∠COF are vertically opposite angles

∠AOE=∠COF

By ASA congruence criterion

△≅COF

OE=OF (c.p.c.t)

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