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2. Each exterior angle of a regular polygon measures 10°. Find the number of sides, the

measure of each interior angle, and the sum of the measures of the interior angles.


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B. A quadrilateral DOVE has the following interior angle measures.

1. What is the measure of ∠?

2. What is the measure of ∠?​

2 Each Exterior Angle Of A Regular Polygon Measures 10 Find The Number Of Sides The Measure Of Each Interior Angle And The Sum Of The Measures Of The Interior A class=

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Interior Angle of the Given Pentagon:

IA = Interior Angles

NS = Number of Sides

IA = (NS - 2) × 180⁰÷ NS

= (5 - 2) × 180⁰ ÷ 5

= (3) × 180⁰÷ 5

= 540⁰ ÷ 5

= 18⁰

Interior Angles is = 18

Sum of All Interior Angles of Given Pentagon:

SA = Sum of All Interior Angles

NS = Number of Sides

SA = (NS - 2) × 180⁰

= (5-2) × 180⁰

= (3) × 180⁰

= 540⁰

Sum of all Interior Angles is = 540⁰

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