How many sides does a regular polygon have if each interior angle measures 150°?
12 sides
Each interior angle of the regular polygon is 150°, so each exterior angle is \(180^\circ - 150^\circ = 30^\circ\).
The number of sides equals \(\dfrac{360^\circ}{30^\circ} = 12\).
Hence, the polygon has 12 sides.
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Important Questions from Geometry
ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle AOB ?
If ∆ABC ~ ∆DEF, and BC = 4 cm, EF = 5 cm and the area of triangle ABC = 80 cm 2, then the area of the triangle DEF is:
If Δ ABC is right angled at B, AB = 12 cm and ∠CAB = 60°, determine the length of BC.
If ΔABC and ΔDEF are congruent triangles, then which of the following is FALSE?
D and E are points on the sides AB and AC, respectively, of ΔABC such that DE is parallel to BC and AD ∶ DB = 7 ∶ 9. If CD and BE intersect each other at F. then find the ratio of areas of ΔDEF and ΔCBF.
