# Find the Number of Sides in a Regular Polygon, If Its Interior Angle Is: 135° - Mathematics

Sum

Find the number of sides in a regular polygon, if its interior angle is: 135°

#### Solution

No. of. sides = n

Each interior angle = 135°

("n" - 2)/"n" xx 180^circ = 135^circ

180n - 360° = 135n

180n - 135n = 360°

45n = 360°

n = 8

Concept: Regular Polynomial
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 2.2 | Page 184