Maths-
General
Easy

Question

triangle A B C is an Isosceles Triangle, if A equals 92 to the power of ring operator end exponent then find ABD .

  1. 44°    
  2. 88°    
  3. 92°    
  4. 136°    

The correct answer is: 88°


    I n space i s o s c e l e s space t r i a n g l e space comma t w o space s i d e s space a r e space e q u a l space a n d space h e n c e space t w o space a n g l e s space f o r m e d space b y space t h e space e q u a l space s i d e s space a r e space a l s o space e q u a l
I n space t r i a n g l e space A B C space comma
angle A equals 92 to the power of ring operator
A c c space t o space a n g l e space s u m space p r o p e r t y space t h e space s u m space o f space a l l space a n g l e s space o f space a space t r i a n g l e space w i l l space b e space e q u a l space t o space 180 to the power of ring operator
S o space i t space i s space c l e a r space t h a t space angle B space a n d space angle C space a r e space e q u a l space a n g l e s
L e t space angle B space b e space x space t h e n space angle C space w i l l space a l s o space b e space x
angle A plus angle B plus angle C equals 180 to the power of ring operator
92 plus x plus x equals 180 to the power of ring operator
2 x equals 88 to the power of ring operator
x equals 44 to the power of ring operator
angle A B D equals angle B plus angle C space space left parenthesis e x t e r i o r space a n g l e space o f space a space t r i a n g l e space i s space e q u a l space t o space t h e space s u m space o f space b o t h space o p p o s i t e space i n t e r i o r space a n g l e s right parenthesis
angle A B D equals 44 to the power of ring operator plus 44 to the power of ring operator
equals 88 to the power of ring operator

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