Question

What are the values of x and y for which quadrilateral is ABCD is a parallelogram? Explain.

Answer 1

Answer:

The value of x = 2.

The value of y = 1.

Step-by-step explanation:

The length of opposite sides of a parallelogram are equal.

Hence, the length of 4x - 3 and x + 3 are equal.

Similarly, the lengths of 3y and 5y - 2 are equal.

$\therefore 4x - 3 = x + 3$

$\implies 3x = 6$

$\implies \textbf{x = 2}$

And $3y = 5y - 2$

$2y = 2$

$\implies \textbf{y = 1}$

Therefore, the values of x and y are: 2; 1 respectively.