Question

In the following figure RUNS is a parallelogram. Find x and y.

• A. $x=43,y=27$
• B. $x=27,y=43$
• C. $x=23,y=47$
• D. $x=47,y=23$

Answer 1

The correct option is A $x=43,y=27$



Diagonals of a parallelogram bisect each other.
$\therefore y-7=20andx-y=16$
$\Rightarrow y=20+7\therefore y=27$
$\Rightarrow x-27=16\Rightarrow x=16+27=43$

$\therefore x=43,y=27$