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

Sum

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

#### 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