Maths-
General
Easy

Question

In DABC, if AD is bisector left floor B A C and DE bisects open floor B D A comma open floor B equals 40 to the power of ring operator end exponent comma ∣ C equals 80 to the power of ring operator end exponent close close find left floor B E D

  1. 85 to the power of ring operator end exponent    
  2. 95 to the power of ring operator end exponent    
  3. 75 to the power of ring operator end exponent    
  4. 105 to the power of ring operator end exponent    

The correct answer is: 75 to the power of ring operator end exponent


    To find angle B E D in the given figure.
    Sum of all angles in a triangle is 180.
    I n space t r i a n g l e space A B C comma
angle B A C equals 180 minus 80 plus 40 space equals space 60 degree.
angle D A E space equals space 60 divided by 2 space equals space 30 degree.
I n space t r i a n g l e space D A B comma
angle A D B equals 180 minus 40 plus 30 space equals space 110
angle A D E equals 110 divided by 2 space equals space 55
angle D E A space equals space 180 minus 30 plus 55 space equals space 95
angle B E D space equals space 180 minus 95 space equals space 85

    Therefore, angle B E D is 85.

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