Q4 of 26 Page 49

All the angles of a 20-sided polygon are the same. How much is each?

Given: Number of sides of polygon = 20

Sum of the angles of n-sided polygon = (n – 2) × 180°


⇒ S = (20 – 2) × 180°


⇒ S = 18 × 180°


⇒ S = 3240


∴ The sum of the angles of 20-sided polygon is 3240°.


More from this chapter

All 26 →
2

The sum of the angles of a polygon is 8100°. How many sides does it have?

 3

Is the sum of the angles of any polygon 1600°? How about 900°?

 5

The sum of the angles of a polygon is 1980°. What is the sum of the angles of a polygon with one side less? What about a polygon with one side more?

 1

Two angles of a triangle are 40° and 60°. Calculate all its outer angles.