Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
What homework do you need help with
Original price= 60
New price =40
Change in value=new price -original price
Change in value= 40-60
Change in value=-20
%decreased=change in value/original pricex100%
%decreased=20/60x100
%decreased= 33.3%
If rounded for the nearest whole number then it is 33%
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