Question

in the given figure, PQ//SR and if OP = 2x-5, OQ = x-5, and OS = 2, then x is equal to?
A) 10
B) 11
C) 6
D) 5​

Answer 1

Step-by-step explanation:

sum of parallel sides.

=> SR+PQ=SP+RQ

=> (x-4)+PQ=(2x-5)+(x-5)

=> x-4+PQ = 2x-5+x-5

=> x-4 +PQ= 3x-10

=> PQ= 3x-x-10+4

=> PQ = 4x-6

Hence, PQ= 2(2x-3). or 4x-6.