Write ‘True’ or ‘False’ for each of the following:
A.
Every rhombus is a square.
B.
Every square is a rhombus.
Â
C.
Every rhombus is a rectangle.
D.
Every rhombus is a rectangle.
E.
Every rhombus is a parallelogram.
F.
Diagonals of a rhombus need not to be equal in length.
G.
Every parallelogram is a rectangle.
The angles of a quadrilateral are respectively 70°, 92° and 100°. Find the fourth angle.
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 3 : 4. Find the measure of each angle of the quadrilateral.
In a parallelogram ABCD, , Detemine the measur of .
∵ Sum of the adjacent angles =
∴         Â
and                   Â
Since,                      Â
∴ From (2), we get
                Â
Now, from (i), we get
                      Â
Thus,                        Â
The measures of two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of the angles of the parallelogram.
If an exterior angle of a regular polygon is 45°. then find the number of its sides.
If an interior angle of a regular polygon is 162°, then find the number of its sides.
Find the measure of each of the
(i) exterior angle,
(ii) interior angle of an octagon.