Q. 165.0( 2 Votes )

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.

Answer :

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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