Math, asked by sanchayan12, 1 year ago

prove that angles oam and obm are congruent and hence prove that am is equal to bn​

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Answers

Answered by Yiri29
10

Answer:

Hey buddy here is ur answer..

Step-by-step explanation:

In triangles OAM and OBN,

Angle AOM = Angle NOB(Vertically opp.)

Angle OMA = Angle BNO(=90 degree)

OA = OB(Given)

Therefore,the two triangles are congruent.

Now,since the two triangles are congruent therefore,By CPCT -> AM = BN.

Hope it helps u!!

Take care:):)

Answered by thequeenofsolutions
0

It is so because we can see the congruent parts of the triangle-:

  • side AO= side OB
  • OM=ON because they lie on common XY
  • <M=<N

Now it is proved that triangleAOM and BON are congruent.

OAM and OBM are congruent through the property of CPCT*.

*CPCT-Corresponding Parts of a Congruent Triangle.

hope u like it helps u the best!

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