Consider the following parallelograms. Find the values of the unknowns x, v, z.

What is a regular polygon?

State the name of a regular polygon of

(i) 3 sides (ii) 4 sides (iii) 6 sides

Find the angle measure x in the following figures.

Find x in the following figures.

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

How many sides does a regular polygon have if the measure of an exterior angle is 24°?

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

Question 5. (a) Is it possible to have a regular polygon with measure of each exterior angle is 22°?

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

(a) What is the minimum interior angle possible for a regular polygon? Why? (b) What is the maximum exterior angle possible for a regular polygon?

ake two identical set squares with angles 30°-60°-90° and place them adjacently to form a parallelogram as shown in Figure. Does this help you to verify the above property?