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
Answered by Kwarteng S. Maths tutor

22680 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

f is a function such that f(x)=2/(3x-3) Find the inverse function and ff^-1


Find the equation of the straight line which passes through the point (0, 3) and is perpendicular to the straight line with equation y = 2x.


There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.


x/x-1 - x/x+1 simplify


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning