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.
A playground in the town is in the form of a kite. The perimeter is
106 metres. If one of its sides is 23 metres, what are the lengths of
other three sides?
Two sticks each of length 7 cm are crossing each other such that
they bisect each other at right angles. What shape is formed by
joining their end points? Give reason.
wo sticks each of length 5 cm are crossing each other such that
they bisect each other. What shape is formed by joining their end
points? Give reason.
The ratio between exterior angle and interior angle of a regular
polygon is 1:5. Find the number of sides of the polygon.
The point of intersection of diagonals of a quadrilateral divides one
diagonal in the ratio 1:2. Can it be a parallelogram? Why or why
not?
The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°.
Find the measures of all angles of the parallelogram