Math, asked by parampreetparam, 1 year ago

The ratio between an exterior angle and interior angle of a regular polygon is 1:5, find:
a) the measure of each exterior angle
b) the measure of each interior angle
c) the number of sides of the polygon

Answers

Answered by anindyaavdhi321

a) measure of each exterior angle is 30 degree
b) 150 degree
c) no.of sides of the polygon = 360÷30=12

parampreetparam: Thanks but how you find interior and exterior angle??

anindyaavdhi321: The ratio is 1:5 and the sum of exterior and interior angle is 180 because they form a linear pair. In the question 180 has been divided into 6 parts so take each part to be x and now the ratio becomes 1x:5x . When you add the ratio it becomes 6x and 6x is equal to 180 in this question so x is 30.

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The ratio between an exterior angle and interior angle of a regular polygon is 1:5, find: a) the measure of each exterior angle b) the measure of each interior angle c) the number of sides of the polygon

Answers

The ratio between an exterior angle and interior angle of a regular polygon is 1:5, find:
a) the measure of each exterior angle
b) the measure of each interior angle
c) the number of sides of the polygon