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.
In a quadrilateral PQRS, ∠P = 50°, ∠Q = 50°, ∠R = 60°. Find ∠S. Is
this quadrilateral convex or concave?
Two angles of a quadrilateral are each of measure 75° and the other
two angles are equal. What is the measure of these two angles? Name
the possible figures so formed.
Quadrilateral EFGH is a rectangle in which J is the point of
intersection of the diagonals. Find the value of x if JF = 8x + 4 and
EG = 24x – 8.
In parallelogram MODE, the bisector of ∠M and ∠O meet at Q, find the measure of ∠MQO.
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