A regular pentagon ABCDE and a square ABFG are formed on
opposite sides of AB. Find ∠BCF.
In parallelogram ABCD, the angle bisector of ∠A bisects BC. Will
angle bisector of B also bisect AD? Give reason
ABCD is a parallelogram. Points P and Q are taken on the sides AB
and AD respectively and the parallelogram PRQA is formed. If ∠C =
45°, find ∠R.
ABCD is a rhombus such that the perpendicular bisector of AB passes
through D. Find the angles of the rhombus.
Hint: Join BD. Then ∆ ABD is equilateral.
The angle between the two altitudes of a parallelogram through the
vertex of an obtuse angle of the parallelogram is 45°. Find the angles
of the parallelogram.
A diagonal of a parallelogram bisects an angle. Will it also bisect the
other angle? Give reason.
ABCD is a parallelogram. The bisector of angle A intersects CD at X
and bisector of angle C intersects AB at Y. Is AXCY a parallelogram?
Give reason
A line l is parallel to line m and a transversal p interesects them at X,
Y respectively. Bisectors of interior angles at X and Y interesct at P
and Q. Is PXQY a rectangle? Given reason.
ABCD is a trapezium such that AB||CD, ∠A : ∠D = 2 :1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.
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