Question

The ratio of exterior angles of a polygon is 1:2:3. Find each exterior angle.

Answer 1

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Answer 2

Answer:

60°,120°,180°

Step-by-step explanation:

let the angle be x

then first exterior angle = x

second exterior angle = 2x

third exterior angle = 3x

we know that the sum of all exterior angle sof any convex polygon is 360° and triangle is also convex polygon

= x+2x+3x = 360

= 6x = 360

= x = 360/6 = 60°

therefore, first exterior angle= x = 60°

therefore, first exterior angle= x = 60°second exterior angle= 2x = 2×60 = 120°

therefore, first exterior angle= x = 60°second exterior angle= 2x = 2×60 = 120°third exterior angle= 3x = 3×60 = 180°

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