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dexar [7]
3 years ago
12

What is the sum of the interior angles of a polygon that has 7 sides?

Mathematics
2 answers:
IgorC [24]3 years ago
6 0

Answer:

900

Step-by-step explanation:

irina [24]3 years ago
6 0

Answer:

900 °

Step-by-step explanation:

A heptagon is a 7-sided polygon with 7 interior angles that sum to 900 °. The name heptagon derives from the Greek words hepta- for seven and -gon for sides. A heptagon is also called a 7-gon or septagon ( septa- is Latin for seven).

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

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Actually, you have to find four missed terms of geometrical sequence. Denote

a_1=25,\\ a_6=800

and r - ratio, then

a_2=a_1\cdot r=25r,\\a_3=a_1\cdot r^2=25r^2,\\a_4=a_1\cdot r^3=25r^3,\\a_5=a_1\cdot r^4=25r^4,\\a_6=a_1\cdot r^5=25r^5.

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