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.
Diagonals of a quadrilateral are perpendicular to each other. Is such
a quadrilateral always a rhombus? Give a figure to justify your answer
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E
respectively. Give reason.
Three angles of a quadrilateral are equal. Fourth angle is of measure
120°. What is the measure of equal angles?
Find the measure of an are exterior angle of a regular pentagon and
an exterior angle of a regular decagon. What is the ratio between
these two angles?
Find the measure of each angle of a regular octagon.
Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
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