Maths-
General
Easy

Question

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

  1. 90°    
  2. less than 90 to the power of ring operator end exponent    
  3. 180°    
  4. greater than 180 to the power of ring operator end exponent    

The correct answer is: greater than 180 to the power of ring operator end exponent


    In the triangle exterior angles are given and and we should find x+y
    F r o m space t h e space f i g u r e space w e space c a n space o b s e r v e space t h a t
angle A B C equals 180 degree minus x
S i m i l a r l y
angle A C B equals 180 degree minus y
F r o m space t r i a n g l e space p r o p e r t y space w e space h a v e comma
angle A B C plus angle A C B plus angle B A C equals 180 degree
left parenthesis 180 degree minus x right parenthesis plus left parenthesis 180 degree minus y right parenthesis plus angle B A C equals 180 degree
H e n c e
x plus y equals 180 degree plus 180 degree minus 180 degree plus angle B A C
S o space x plus y equals 180 degree plus angle B A C
I t space i s space c l e a r space t h a t space x plus y greater than 180 degree

    Hence x+y>180o

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