Geometry Practice Test 4

Question : 16 of 40

Marks: +1, -0

The difference between the exterior and interior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is:

Solution:

I + E = 180°
I - E = 150°
2 I = 330°
I = 165°
Now 165° + E = 180°
E = 180° - 165°
E = 15°
Number of sides =

{360°}/{15°}

= 24 sides

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