Maths-
General
Easy

Question

In the figure, the value of x = ..................

  1. 60°    
  2. 120°    
  3. 170°    
  4. 50°    

hintHint:

Use angle sum property of a triangle

The correct answer is: 120°


    I n space T r i a n g l e space A B C space comma

angle A C D equals angle A B C plus angle B A C 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 o m e space o f 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 C D equals 35 to the power of ring operator plus 25 to the power of ring operator
angle A C D equals 60 to the power of ring operator space equals angle E C D

I n space t r i a n g l e space E C D comma
angle E C D plus angle E D C equals angle A X D
60 to the power of ring operator plus 60 to the power of ring operator equals angle A X D
angle A X D equals 120 to the power of ring operator equals x

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