Mathematics
Grade9
Easy

Question

What is the measure of angle L K G?

  1. 1000
  2. 80o
  3. 90o
  4. 60o

hintHint:


To find angleLKG in the given figure we need to have angleKGN so that we can find the required angle with the help of consecutive interior angle. Also angleKGN is vertically opposite angle of angleHGI which are equal.

The correct answer is: 80o


    The measure of angle L K G is 80degree.

    APQ, angle K G N equals angle H G I equals 100 degree (vertically opposite angles)
    L J parallel to N I comma space M H space i s space t h e space t r a n s v e r s a l
S o comma space angle L K G plus angle K G N equals 180 degree left parenthesis c o n s e c u t i v e space i n t e r i o r space a n g l e right parenthesis
space rightwards double arrow space space space space space angle L K G plus 100 degree equals 180 degree
rightwards double arrow space space space space space space space space space space space space space space space space space space space angle L K G equals 180 degree minus 100 degree
rightwards double arrow space space space space space space space space space space space space space space space space space space space angle L K G equals 80 degree

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