Question

In a right angled triangle MNO, ∠N = 90⁰, MO is extended to P, If ∠NOP =

128⁰, find the other two angles of triangle MNO.

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Answer 1

=> <NOP +<NOM =180°( linear pair)

=> 128° + <NOM =180°

=> <NOM = 180° - 128°

=> <NOM = 52°

Now,

sum of all interior angles of a triangle is 180°

Therefore,

=> <NOM + <MNO + <OMN = 180°

=> 52° + 90° + <OMN = 180°

=>142° + <OMN = 180°

=> <OMN = 180°-142°

=> <OMN= 38°