Find the measure of each interior angle of the regular polygon

Mathematics

1 answer:

lukranit [14]3 years ago

5 0

Answer:

140 deg

Step-by-step explanation:

The sum of the measures of the interior angles of an n-gon is

(n - 2)180

In a 9-gon, there are 9 sides, so n = 9.

The sum of the measures of the interior angles of a 9-gon is

(n - 2)180 =

= (9 - 2)(180)

= 7(180)

= 1260

A regular polygon has congruent interior angles. A 9-gon has 9 congruent interior angles. The measure of each interior angle is the sum of the measures of the interior angles divided by the number of angles.

1260/9 = 140

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