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

KS

Related Maths GCSE answers

All answers ▸

How do I expand (x-2)(3x+3) into a quadratic?


How do you apply the multiplication law of indices?


John has 12 marbles. Sandra has 10 more marbles than Kathy. Kathy has 4 times as many marbles as John. How many marbles does Sandra have?


For the function given by f(x) = x² - 5x - 6, solve for f(x)=0 by factorising.