in a given figure if x is greater than Y then prove that MP is greater than NP
Answers
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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