• # question_answer Find the value of x and y from the parallelogram given below. A) $x=5,\text{ }y=146$B) $x=65,\text{ }y=115$C) $x=8.125,\text{ }y=129.3$D) Cannot be determinedE) None of these

Explanation Option [a] is correct. From the figure given in question $2.5y-250=0.5y+42$ (opposite angles of a parallelogram are equal) $\Rightarrow ~2.5y-0.5y=250+42$ $\Rightarrow ~2y=292$ $\Rightarrow y=146$ Similarly, $2x+55=14x-5$ (opposite angles of a parallelogram are equal) $\Rightarrow ~2x-14x=-5-55$ $\Rightarrow ~-\text{ }12x=-60$ $\Rightarrow x\text{ }=\text{ }5$ Thus, $x=5,\text{ }y=146$