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Q: What is the measure of one angle of a regular heptagon?

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360/7 = 51o25'42.86''

It is the regular heptagon which has the larger interior angle. The rule is that as the number of sides of a regular polygon increases then the external angle decreases while the interior angle increases The summation of the interior and external angleof one vertex is 180 degrees.

A heptagon has 7 sides. sum_of_interior_angles = (number_of_sides - 2) x 180o ⇒ sum_of_angles_for_heptagon = 5 x 180o = 900o ⇒ interior_angle_of_regular_heptagon = 900o ÷ 7 = 1284/7o ~= 128.6o.

900/7 = 128.57 deg approx.

Answer: 128.57 degrees The measure of one angle in a REGULAR polygon can be found with the formula: ((n-2)x 180degrees)/n --> (7-2)x 180= 900degrees--> 900degrees/7= approx. 128.57 degrees. The polygon MUST be regular (i.e. all sides the same length and all angles the same measure

In a regular heptagon, each interior angle is 180o - 360o Ã· 7 = 1284/7o â‰ˆ 128.57o;in a non-regular heptagon, one of the interior angles ("an interior angle") could be any value greater than 0o and less than 360o except 180o.

144

150

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135

An interior angle of a heptagon can have ANY value between 0 and 360 degrees.

180

60

10000000000000

36

6

72 degrees

1800

The measure of one angle of a regular pentagon is 108 degrees.

Exterior angle: 45 degrees Interior angle: 135 degrees

120 degrees

32

108 degrees

45 degree

72 degrees