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In the given figure, ABCD is a rectangle and X and Y are points on sides AD and BC respectively such that AY=BX. show that angleABX=BAY

Asked by rishabhshakya2 11th March 2015, 9:53 AM
Answered by Expert
Answer:
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
A B C D space i s space a space r e c tan g l e. space L e t space X space a n d space Y space b e space t w o space p o i n t s space s u c h space t h a t space A Y equals B X N o w space c o n s i d e r space t h e space t r i a n g l e s comma space triangle A B X space a n d space triangle B A Y angle X A B equals angle Y B A equals 90 degree space space space space space space open square brackets r i g h t space a n g l e close square brackets A Y equals B X space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets g i v e n close square brackets A B equals B A space space space space space space space space space space space space space space space space space space space space space space space space space space space space open square brackets c o m m o n space s i d e close square brackets T h u s comma space b y space R i g h t space A n g l e minus H y p o t e n u s e minus S i d e space c r i t e r i o n space o f space c o n g r u e n c e comma space w e space h a v e comma triangle A B X approximately equal to triangle B A Y T h u s space c o r r e s p o n d i n g space p a r t s space o f space t h e space c o r r e s p o n d i n g space t r i a n g l e s space a r e space c o n g r u e n t. B y space c p c t comma space A Y equals B X comma space a n d space angle A B X equals angle B A Y
Answered by Expert 11th March 2015, 9:08 PM
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