Question

4. In parallelogram DEFG, DH =x+3, HF = 3y, GH = 4x – 5, and HE = 2y + 3. Find the values

of x and y. The diagram is not drawn to scale.
m0 CO
6:3=3

Answer 1

x = 3

y = 2

Explanation:

In parallelogram DH = HF and GH = HE

x + 3 = 3y ......(1)

4x - 5 = 2y + 3 .....(2)

(1) x 4 4x + 12 = 12y ....(3)

(3) - (2) 17 = 10y - 3

10y = 20

y = 2

x = 3y - 3 = 3