if an exterior angle of a regular polygon is equal to its and interior angle find the number of sides
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heya!!! see the pic for ur ans
tips
know the formulas of polygons for external and internal angles
alternative way
we know that
exterior angle +interior angle =180
as per question
exterior angle =interior angle =x
this implies
x+x=180
2x=180
x=90
so each exterior angle=90°
number of sides =360°/exterior angle
=360/90=4
Ans 4 sided polygon
tips
know the formulas of polygons for external and internal angles
alternative way
we know that
exterior angle +interior angle =180
as per question
exterior angle =interior angle =x
this implies
x+x=180
2x=180
x=90
so each exterior angle=90°
number of sides =360°/exterior angle
=360/90=4
Ans 4 sided polygon
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juhi1445:
heyaaaa thanks alot this is ri8 1. hvng more queried
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