Question

6. Find the values of x and y in the following parallelogram.
D
2y + 13/ 5y + 4
16 - *
*+8
A
B​

Answer 1

$diagonal \: of \: parallelogram \: \\ bisect \: each \: other \: \\ i) 2y + 13 = 5y + 4 \\ 13 = 5y - 2y + 4 \\ 13 = 3y + 4 \\ 3y = 9 \\ y = 3 \\ \\ ii) x + 8 = 16 - x \\ 2x = 16 - 8 \\ 2x = 8 \\ x = 4$