AB, BC and CD are the three consecutive aides of a regular polygon. If angle BAC= 20°, find: i) its each interior angle ii) its each exterior angle iii) the number of sides in the polygon.
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hey we would draw it like
and by angle sum property we will get interior angle = 140°
interior angle + exterior angle = 180°
exterior angle=180-140
=40
as sum of exterior angles will be 360° thus by dividing 360 by exterior angle we will get no. of sides
= 360/40
=9
thus the polygon will be having 9 sides (nonagon)
hope this might help you
and by angle sum property we will get interior angle = 140°
interior angle + exterior angle = 180°
exterior angle=180-140
=40
as sum of exterior angles will be 360° thus by dividing 360 by exterior angle we will get no. of sides
= 360/40
=9
thus the polygon will be having 9 sides (nonagon)
hope this might help you
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