Q1) State, which of the following are polygons :
Q2) Find the sum of interior angles of a polygon with : (i) 9 sides (ii) 13 sides (iii) 16 sides
Q3) Find the number of sides of a polygon, if the sum of its interior angles is : (i) 1440° (ii) 1620°
Q4) Is it possible to have a polygon, whose sum of interior angles is 1030°.
Q5) (i) If all the angles of a hexagon arc equal, find the measure of each angle. (ii) If all the angles of an octagon are equal, find the measure of each angle,
Q6) One angle of a quadrilateral is 90° and all other angles are equal ; find each equal angle.
Q7) If angles of quadrilateral are in the ratio 4 : 5 : 3 : 6 ; find each angle of the quadrilateral.
Q8) If one angle of a pentagon is 120° and each of the remaining four angles is x°, find the magnitude of x.
Q9) The angles of a pentagon are in the ratio 5 : 4 : 5 : 7 : 6 ; find each angle of the pentagon.
Q10) Two angles of a hexagon are 90° and 110°. If the remaining four angles arc equal, find each equal angle.
Q1) Fill in the blanks :
In case of regular polygon, with
Q2) Find the number of sides in a regular polygon, if its each interior angle is : (i) 160° (ii) 150°
Q3) Find number of sides in a regular polygon, if its each exterior angle is : (i) 30° (ii) 36°
Q4) Is it possible to have a regular polygon whose each interior angle is : (i) 135° (ii) 155°
Q5) Is it possible to have a regular polygon whose each exterior angle is : (i) 100° (ii) 36°
Q6) The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find :
(i) each exterior angle of this polygon.
(ii) number of sides in the polygon.
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