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Answers
ANSWER 5: To find the sum of the interior angles of a hexagon, divide it up into triangles... There are four triangles... Because the sum of the angles of each triangle is 180 degrees... We get 4×180
So, the sum of the interior angles of a hexagon is 720 degrees.
ANSWER 6: (i) 20
soln:For a regular polygon with n sides, the exterior angle of any side is equal to
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚n
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,18˚=360˚n
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,18˚=360˚nSolve for n, the number of sides in the polygon.
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,18˚=360˚nSolve for n, the number of sides in the polygon.n(18˚)=360˚
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,18˚=360˚nSolve for n, the number of sides in the polygon.n(18˚)=360˚n=360˚18˚=20
For a regular polygon with n sides, the exterior angle of any side is equal toexterior angle=360˚nThus, in this scenario,18˚=360˚nSolve for n, the number of sides in the polygon.n(18˚)=360˚n=360˚18˚=20The polygon has 20 sides.
ANSWER (II):18 sides
soln:A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.
A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.For a regular polygon, the size of each exterior angle, θcan be found from:
A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.For a regular polygon, the size of each exterior angle, θcan be found from:θ=360°n ← where n = number of sides
A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.For a regular polygon, the size of each exterior angle, θcan be found from:θ=360°n ← where n = number of sidesUsing this property, if you know the size of the exterior angle, you can find the number of sides.
A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.For a regular polygon, the size of each exterior angle, θcan be found from:θ=360°n ← where n = number of sidesUsing this property, if you know the size of the exterior angle, you can find the number of sides.n=360°20°
A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.For a regular polygon, the size of each exterior angle, θcan be found from:θ=360°n ← where n = number of sidesUsing this property, if you know the size of the exterior angle, you can find the number of sides.n=360°20°=18 sides