Question

the measure of each of the interior of a regular polygon having an angle sum of 1260° is​

Answer 1

Answer:

$140^{0}$

Step-by-step explanation:

So, the sum of the interior angles of a nonagon is 1260 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1260 degrees (from above).

1260 / 9 = $140^{0}$

Answer 2

Answer:

9 sides, measure of each angle =140°

Step-by-step explanation:

n=number of sides of o polygon

(n-2)×180°=1260°

(n-2)=1260°/180°

(n-2)=7

n=7+2

n=9

Measure of each angle:

1260°/9=140°

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