Q6 B of 59 Page 195

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

hexagon


Now for a hexagon, we know it has six sides. So let us substitute n = 6 in the formula.

Sum of interior angles is given as = (2 × 6 – 4) × 90


= (12 – 4) × 90


= 8 × 90


= 720°


Measure of each interior angle in hexagon = Sum of all Interior Angles / n


= 720 / 6


= 120°


Sum of all exterior angles in a regular of n sides is always 360°.


Measure of each exterior angles for hexagon = 360 / 6
= 60°


More from this chapter

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5

Let’s write whether it is possible not that the measurement of 5 angles of a convex hexagon are 120°, 70°, 95°, 78°, 160° respectively.

 6 A

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Pentagon


 6 C

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

octagon


 6 D

Let’s write then measurement of each interior and exterior angle of the following regular polygon.

Nonagon