Maths-
General
Easy

Question

In the given figure, p||q and r is transversal to p,q. text If  end text angle 2 colon angle 3 equals 7 colon 3 text  then  end text angle 4 minus angle 7 equals text  ? end text

  1. 42°    
  2. 52°    
  3. 62°    
  4. 72°    

hintHint:

Vertically opposite angles are equal
Corresponding are equal

The correct answer is: 72°


    Step 1


    angle 2 space colon angle 3 space equals 7 colon 3
A l s o space angle 2 plus angle 3 space equals 180 space left parenthesis c o m p l e m e n t a r y space a n g l e s right parenthesis
L e t space angle 2 space b e space 7 x space a n d angle 3 space b e space 3 x
7 x plus 3 x equals 180
10 x equals 180
x equals 180 divided by 10
x equals 18
angle 2 space equals 7 cross times 18 space space a n d space angle 3 space equals 3 cross times 18
angle 2 space equals 126 space a n d space angle 3 space equals space 54


    angle 2 equals angle 4 space left parenthesis v e r t i c a l l y space o p p o s i t e space a n g l e s right parenthesis
angle 4 space equals 126
A l s o space angle 3 space equals angle 7 space left parenthesis c o r r e s p o n d i n g space a n g l e s space a r e space e q u a l right parenthesis
angle 7 space equals 54
angle 4 minus angle 7 space equals 126 minus 54
equals 72

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