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Question

In a triangle ABC, the bisectors of angles ABC and ACB meet at M.
hence,
BMA=90+12A.

State true or false.

A
True
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B
False
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Solution

The correct option is B False
In BMC,
Sum of all angles of a triangle =180o
BMC+MBC+MCB=180o
BMC=180o(MBC+MCB)
BMC=180o12(B+C) (Since, MB and MC bisect B and C)
BMC=180o12(180A) (Using angle sum property to triangle ABC)
BMC=180o90o+12A
BMC=90o+12A

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