Fill in the blanks.i. Each interior angles of a regular octagon is ii. The sum of all interior angle of a regular hexagon is iii. Each exterior angle of a regular polygon is 60°. This polygon is a ...... .iv. Each interior angle of a regular polygon is 108°. This polygon is a ...... .v. A pentagon has ...... diagonals.

i. 135°

Exterior Angle = [n represents no of sides of polygon]

= 45°

Interior Angle + Exterior Angle = 180o

Interior Angle = 180 – 45 = 135°

ii. 720°

Sum of Interior Angle = (n-2)× 180°

= (6-2) × 180 °

= 720°

iii. Hexagon

Exterior Angle =

60 =

N =

= 6

No. of Sides is 6.

So, it is a hexagon.

iv. Pentagon

Interior Angle = 108°

Exterior Angle = 180° - 108° = 72°

No. of Sides =

= 5

So, it is a pentagon.

v. 5

No. of diagonals = [n is No. of Sides]

=

= 5

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