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If All the Angles of a 14-sided Figure Are Equal ; Find the Measure of Each Angle. - Mathematics

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Sum

If all the angles of a 14-sided figure are equal ; find the measure of each angle.

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Solution

No.of.sides of polygon, n = 14

Let each angle = x°

∴ Sum of angles = 14x°

∴ (n - 2) × 180° = Sum of angles of polygon

∴ (14 - 2) × 180° = 14x

12 × 180° = 14x

x = `(12 xx 180)/14`

x = `1080/7`

x = `(154 2/7)^circ` 

Concept: Sum of Exterior Angles of a Polynomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (A) | Q 5.2 | Page 181
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