Question

in a given figure if ×>y then prove that MP >NP help....... ​

Answer 1

Given : ∠x  > ∠y  

To Find : prove that MP >NP

Solution:

∠x = ∠MNP + ∠P  ( Exterior angle of triangle = Sum of opposite two internal angles)

Similarly

∠y = ∠NMP + ∠P  ( Exterior angle of triangle = Sum of opposite two internal angles)

∠x  > ∠y

=> ∠MNP + ∠P >  ∠NMP + ∠P

subtract  ∠P from both sides

=>  ∠MNP   >  ∠NMP  

Side opposite to greater angle is larger

Side opposite to  ∠MNP is MP

Side opposite to  ∠NMP is NP

MP > NP

QED

Hence Proved

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