Work out the value of x and y in the parallelogram ABCD.

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 

(2x+43) + (4y-5x)=180  -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 

4y-3x=180-43 -> 4y= (100-43)+3x -> 4y = (180-43)+3(21) (because x=21) 

therefore 4y=137+63 -> 4y=200 -> therefore y=200/4 therefore y=50 

therefore y=50 and x=21

Answered by Kwarteng S. Maths tutor

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