8th Quadrilateral and Parallelogram solved Extra Edugain Questions

1. How many diagonals does each of the following have?

(a) A convex quadrilateral (b) A regular hexagon (c) A triangle

Answer: (a) 2 (b) 9 (c) 0

2. What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? Using the formula: (n - 2)180°

3.What can you say about the angle sum of a convex polygon with number of sides?(a) 7 (b) 8 (c) 10

4. What is a regular polygon? State the name of a regular polygon of (i) 3 sides (ii) 4 sides (iii) 6 sides

5. . Find the measure of each exterior angle of a regular polygon of (i) 9 sides (ii) 15 sides

8. How many sides does a regular polygon have if the measure of an exterior angle is 24°? Number of sides of a polygon =360/exterior angle

9. How many sides does a regular polygon have if each of its interior angles is 165°?

Exterior Angle = 180°-interior angle

10. (a) Is it possible to have a regular polygon with measure of each exterior angle as 22°?

(b) Can it be an interior angle of a regular polygon? Why?

[ If interior angle is 22° then the exterior angle  = 180°-22°=158°On dividing 360° by 158° we can’t get answer in whole number, so such a polygon is not possible.]
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