Question

pls gave the ans of aforesaid question​

Answer 1

❏ Question:-

In parallelogram RUNS , find x and y ,

$\setlength{\unitlength}{0.78 cm}\begin{picture}(12,4)\thicklines\put(7,8.8){ A }\put(5.5,5.8){ B }\put(11.4,5.6){ C }\put(12.9,8.7){ D }\put(7.5,7.7){ 20\:cm }\put(7.5,6.2){ 16\:cm }\put(10.2,8.2){ x+y }\put(10.6,6.8){ y+7 }\put(6,6){\line(1,0){5.5}}\put(7.4,8.8){\line(1,0){5.5}}\put(12.9,8.8){\line(-1,-2){1.4}}\put(6,6){\line(1,2){1.4}}\put(6,6){\line(5,2){6.9}}\put(11.5,6){\line(-3,2){4.1}}\end{picture}$

❏ Solution:-

we know that for a parallelogram diagonals bisect each other ,

so ,

$\sf\implies y+7=20$

$\sf\implies y=20-7$

$\sf\implies \boxed{\large{\red{y=13}}}$

Now,

$\sf\implies x+y=16$

$\sf\implies x+13=16$

$\sf\implies x=16-13$

$\sf\implies \boxed{\large{\red{x=3}}}$