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=

Sagot :

Interior Angle of the Given Pentagon:

IA = Interior Angles

NS = Number of Sides

IA = (NS - 2) × 180÷ NS

= (5 - 2) × 180 ÷ 5

= (3) × 180÷ 5

= 540 ÷ 5

= 18

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) × 180

= (5-2) × 180

= (3) × 180

= 540

Sum of all Interior Angles is = 540