Question

Find the value of x and y in the following parallelogram.
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Answer 1

Step-by-step explanation:

$x + 8 = 16 - x \\ 16 - x - x - 8 = 0 \\ 8 - 2x = 0 \\ - 2x = - 8 \\ x = \frac{ - 8}{ - 2} = 4 \\ x = 4$

$2y + 13 = 5y + 4 \\ 2y - 5y + 13 - 4 = 0 \\ - 3y + 9 = 0 \\ - 3y = - 9 \\ y = \frac{ - 9}{ - 3} = 3 \\ y = 3$

Answer 2

in parellelogram diagonal bisect each other are equal

so , OA = OC

x + 8 = 16 - x

2 x = 8

x = 4

OD = OB

2y +13 = 5y + 4

- 3 y = - 9

both side minus cancel

3 y = 9

y = 3