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Polygons — MATHS STD 6 — Question

ICSE BoardEnglish MediumSTD 6MATHSPolygons3 Marks
Question
Find the number of sides in a regular polygon, if its interior angle is: 150°
✓

Answer

Let no.of.sides of regular polygon be n.
Each interior angle = 150°
$\therefore \frac{(2 n -4) \times 90^{\circ}}{ n }=150^{\circ}$
180n - 360° = 150n
180n - 150n = 360°
30n = 360°
n = 12

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