Question

In the fig. QP parallel to Ml.find the value of x.goyal assignment class 9 pg T-1-60 Q 24

Answer 1

As measurements of sides and figure is not given so I have put some values to the measurements of the sides of this figure. In my opinion this must be a trapezium.
Solution:-
In quadrilateral MIQP we have, QP II MI. So MIQP is a trapezium. We know that the diagonals of a trapezium divide each other proportionally, then MOQO = IOPO = (x+5)(x+3) = (x-1)(x-2)
⇒(x+5)(x-2) = (x+3)(x-1)
⇒ x²+3x-10 = x²+2x-3
⇒ 3x-10 = 2x-3
⇒ 3x-2x = -3+10
⇒ x = 7 answer