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help445492
09.06.2020 •
Mathematics
Each exterior angle of a regular polygon is 24º.
How many sides does the polygon have?
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Ответ:
360 / 24 = 15
Step-by-step explanation :
Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.
Ответ:
15 sides
The polygon has 15 sides
360/24=15
Ответ:
19°
Step-by-step explanation:
Concept Used :-
The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .Using this ,
![\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9} \\\\\bf\implies\boxed{\red{\bf x = 19 }}](/tpl/images/2361/0136/146d5.png)
Hence the value of x is 19°