An obtuse angle made by a side of a parallelogram PQRS
with other pair of parallel sides is 150°. If the perpendicular
distance between these parallel sides (PQand SR) is 20
cm, what is the length of the side RQ?
There are two taps Aand Bto fill up a water tank. The
tank can be filled in 40 min, if both taps are on. The same
tank can be filled in 60 min, if tap Aalone is on. How much
time will tap Balone take, to fill up the same tank?
A train started from a station with a certain number of
passengers. At the first halt,
of its passengers got
down and 120 passengers got in. At the second halt, half
of the passengers got down and 100 persons got in. Then,
the train left for its destination with 240 passengers. How
many passengers were there in the train when it started ?
A person has four iron bars whose lengths are 24 m, 36
m, 48 m and 72 m respectively. This person wants to cut
pieces of same length from each of four bars. What is the
least number of total pieces if he is to cut without any
We know that, the triangle of same segment of a circle
makes an equal angles.
∴ ∠XBY = ∠XAY= 45°
In ∆BXY, ∠BXY+ ∠XBY+ ∠BYX= 180°
$\implies$ 50° + 45° + ∠BYX = 180° (∵ ∠BXY= 50°)
$\implies$ ∠BYX = 180° – 95° = 85°