in the given figure, angle a>angle b,show that angle ATM<angle AMT
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∠ATM < ∠AMT
Step-by-step explanation:
∠a = ∠AMT + ∠A
(Exterior angle of Triangle = Sum of opposite interior angle)
∠b = ∠ATM + ∠A
(Exterior angle of Triangle = Sum of opposite interior angle)
∠a > ∠b given
=> ∠AMT + ∠A > ∠ATM + ∠A
Subtracting ∠A from both sides
=> ∠AMT > ∠ATM
=> ∠ATM < ∠AMT
QED
Hence proved
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