Question

find the value of x in the given parallelgram PQRS​

Answer 1

Answer:

In parallelogram the opposite sides are equal therefore,

SR=PQ

3x-15=2x+3

x=18

hope it helps...!!!

Answer 2

We have :-

$2x + 3 = 3x - 15$

this is because of the property of parallelogram that its opposite sides are equal as well as parallel.

$\rule{200}{2}$

Hence,

$2x + 3 = 3x - 15 \\ \\3x - 2x = 15 + 3 \\ \\ \\x = 18$

Hence,

X is equal to 18.

$\rule{200}{2}$

The side of the parallelogram will be

$= 2x + 3 \\ \\= 2(18) + 3 \\ \\ \\= 36 + 3 \\ \\ \\= 39$

$\rule{200}{2}$

KEY POINTS TO REMEMBER

☸️ Parallelogram is a figure with 4 sides in which opposite sides are equal and parallel.

☸️ The opposite angles of a parallelogram are always equal.

☸️ Sum of all angles of parallelogram will be equal to 360 degrees.

☸️ Parallelogram with adjacent sides equal is a rhombus.

☸️ The diagonals of a parallelogram bisect each other.

$\rule{200}{2}$