If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?

Mathematics

2 answers:

MAVERICK [17]3 years ago

6 0

Answer:

The polygon has six (6) sides.

Step-by-step explanation:

We recall that the formula for the sum of the interior angles in a polygon is:

180° (n - 2)

Where n = number of sides

Since from the sum of the interior angles of the polygon is 720°

Then:

720° = 180° (n - 2)

We then solve for n

Divide both sides by 180°

720°/180° = 180° (n - 2)/180°

4 = n - 2

n = 4 + 2

n = 6

Therefore the number of sides of the polygon is 6 making it a hexagon.

Alenkasestr [34]3 years ago

3 0

Answer:

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

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