o
The ratio of exterior angle
rectant
to Interior angle of a
rectangular porgson is 1.4
of lides of the
Find the number
Doggon.
Answers
Answer:
Step-by-step explanation:
Secondary SchoolMath 13+7 pts
The ratio of exterior angle to interior angle of a regular polygon is 1:4.Find the number of sides of the polygon
Report by Ayeshakkhan454 11.10.2017
Answers
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mudit8123
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MakutoShiedo
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Let the interior angle of the regular polygon be x.
Therefore, the exterior angle is x/4.
Exterior angle + adjacent interior angle = 180°
x/4 + x. = 180°
5x /4. = 180°
x. = 180° * 4/5
= 144°
The interior angle is 144°.
The exterior angle is 36°.
Let n be the number of sides.
n = 360°/ exterior angle
= 360° / 36°
= 10
Ans.= The number of sides of a regular polygon is 10.
Answer:
Step-by-step explanation:Let the interior angle of the regular polygon be x.
Therefore, the exterior angle is x/4.
Exterior angle + adjacent interior angle = 180°
x/4 + x. = 180°
5x /4. = 180°
x. = 180° * 4/5
= 144°
The interior angle is 144°.
The exterior angle is 36°.
Let n be the number of sides.
n = 360°/ exterior angle
= 360° / 36°
= 10
Ans.= The number of sides of a regular polygon is 10.