Maths-
General
Easy

Question

In triangle A B C comma angle B colon angle C equals 3 colon 2 comma angle B then find angle B in the figure.

  1. 45°    
  2. 57°    
  3. 50°    
  4. 51°    

hintHint:

In a triangle ,exterior angle is equal to the sum of both opposite interior angles

The correct answer is: 51°


    angle B colon angle C equals 3 colon 2
L e t space angle B equals 3 x space t h e n space angle C space w i l l space b e space 2 x
A l s o
angle B plus angle C equals 95 to the power of ring operator space left parenthesis e x t e r i o r space a n g l e space i s space e q u a l space t o space t h e space s u m space o f space b o t h 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
3 x plus 2 x equals 95 to the power of ring operator
5 x equals 95 to the power of ring operator
x equals 19 to the power of ring operator
angle B equals 3 space cross times 19 to the power of ring operator
angle B equals 57 to the power of ring operator
angle C equals 2 cross times 19 to the power of ring operator
angle C equals 38 to the power of ring operator

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