Maths-
General
Easy

Question

Measure of angle A C D in the following figure is

  1. 1300    
  2. 1200    
  3. 1500    
  4. 1150    

The correct answer is: 1500


    L e t space A M space b e space t h e space b i s e c t s o r space o f space angle B A C
I n space triangle A M B space
angle A M B plus angle A B M plus angle B A M space equals 180 space left parenthesis A n g l e space s u m space p r o p e r t y right parenthesis
90 to the power of ring operator plus 30 to the power of ring operator plus x equals 180 to the power of ring operator
x equals 180 to the power of ring operator minus 120 to the power of ring operator
x equals 60 to the power of ring operator
A l s o space
angle A C D equals angle A B C plus angle B A C
angle A C D equals 30 to the power of ring operator plus 2 x
angle A C D equals 30 to the power of ring operator plus 2 cross times 60 to the power of ring operator
angle A C D equals 30 to the power of ring operator plus 120 to the power of ring operator
angle A C D equals 150 to the power of ring operator

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