Help me to answer this question, with methods , Plz!!!
In a regular polygon, each exterior angle is smaller than its interior angles by 150 degrees, find the number of sides of the polygon.
Maths question!!!(20 marks)
2009-01-21 12:22 am
回答 (2)
2009-01-21 12:26 am
✔ 最佳答案
Let the number of sides of the polygon is n , x is the exterior angle and y is the interior angles Then from x+y=180, y=x+150
=>x=15, y=165
Also nx=360
So 15n=360
n=24
the number of sides of the polygon is 24
2009-01-20 18:45:49 補充：
Also nx=360 (sum of exterior angles equals to 360 degrees)
2009-01-21 12:40 am
Let X degree be the exterior angle, then X+150 be the interior angle
X + (X+150) = 180 (exterior angle and interior angle lie on a straight line)
X = 15
The number of sides of the polygon is
360 / 15 (sum of exterior angles equals to 360 degrees)
= 24
X + (X+150) = 180 (exterior angle and interior angle lie on a straight line)
X = 15
The number of sides of the polygon is
360 / 15 (sum of exterior angles equals to 360 degrees)
= 24
收錄日期: 2021-04-26 13:04:42
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