Question

prove that angle LOE in kite LIFE is a right angle if LO=OF​

Answer 1

Given : LO=OF​ in  kite LIFE

To Find :  prove that ∠LOE is a right angle  

Solution:

in ΔLOE and ΔFOE

LO  = FO    Given

OE= OE    Common

LE = FE    Given

=>  ΔLOE ≅ ΔFOE

=> ∠LOE = ∠FOE

∠LOE + ∠FOE = 180°  ( Linear Pair )

=>  ∠LOE +  ∠LOE = 180°

=> 2 ∠LOE = 180°

=> ∠LOE = 90°

QED

Hence Proved

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