Mathematics
Two alternate sides of a regular polygon, when produced, meet at right angle. Find :
(i) the value of each exterior angle of the polygon;
(ii) the number of sides in the polygon.
Related Questions
The following figure shows a trapezium ABCD in which AB is parallel to DC and AD = BC.
Prove that :
(i) ∠DAB = ∠CBA
(ii) ∠ADC = ∠BCD
(iii) AC = BD
(iv) OA = OB and OC = OD
The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6°. Find the value of n.
In parallelogram ABCD, AP and AQ are perpendiculars from vertex of obtuse angle A as shown. If ∠x : ∠y = 2 : 1; find the angles of the parallelogram.
In the given figure, AP is bisector of ∠A and CQ is bisector of ∠C of parallelogram ABCD. Prove that APCQ is a parallelogram.
