Oues- The ratio between an exterior angle and the interior angle of a regular polygon is
1:5. Find
(1) the measure of each exterior angle
(ii) the measure of each interior angle
(iii) the number of sides in the polygon.
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Oues- The ratio between an exterior angle and the interior angle of a regular polygon is
1:5. Find
(1) the measure of each exterior angle
(ii) the measure of each interior angle
(iii) the number of sides in the polygon.
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Step-by-step explanation:
The ratio between the exterior angle and interior angle of a regular polygon is 2:3.
Each interior angle of a regular polygon =
n
180
o
(n−2)
where n = number of sides of polygon
Each exterior angle of a regular polygon =
n
360
o
According to question,
n
360
o
:
n
180
o
(n−2)
=2:3
=>
(n−2)
2
=
3
2
=>n−2=3
=>n=5