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