Maths-
General
Easy

Question

In the given figure, A C perpendicular C E and angle A colon angle B colon angle C equals 3 colon 2 colon 1, then the value of angle E C D is

  1. 70 to the power of ring operator end exponent    
  2. 50 to the power of ring operator end exponent    
  3. 60 to the power of ring operator end exponent    
  4. 90 to the power of ring operator end exponent.    

The correct answer is: 60 to the power of ring operator end exponent


    In the question we have to find the given angle ECD
    angle A colon angle B colon angle C equals 3 colon 2 colon 1
L e t comma
angle A equals 3 x
angle B equals 2 x
angle C equals x
A p p l y i n g space a n g l e space s u m space p r o p e r t y space o f space t h e space t r i a n g l e
angle A plus angle B plus angle C equals 180 degree
6 x equals 180
x equals 30
angle A equals 3 x equals 90 degree
angle B equals 2 x equals 60 degree
angle C equals x equals 30 degree
angle C plus angle A C E plus angle E C D equals 180 degree
angle E C D equals 180 minus 120 equals 60 degree

    Hence Choice 3 is correct

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