In parallelogram defg, dh = x + 1, hf = 3y, gh=3x−4,and he = 5y + 1. find the values of x and y. the diagram is not drawn to scale

ANSWER



EXPLANATION

The diagonals of a parallelogram bisects each other.

Therefore



This implies that,



We make x the subject to get,



Similarly,





This implies that,



We substitute equation (1) in to equation (2) to get,



We expand the bracket to get,



We group like terms to get,





Divide both sides by 4 to obtain,



We put the value of y into equation (3) to get,