An interior angle of a regular polygon has a measure of 108. What type of polygon is it?
2 answers:
Answer:
pentagon
Step-by-step explanation:
Recall that for any regular polygon, the number of sides and the interior angles are related through the following formula.
Interior Angle, θ = 180(n-2) / n ; where n is the number of sides
Rearranging :
θ = 180(n-2) / n
nθ = 180 (n-2)
nθ = 180n - 2(180)
nθ = 180n - 360
180n - nθ = 360
n(180 - θ) = 360
n = 360 / (180 - θ) (given that θ = 108°)
n = 360 / (180 - 108)
n = 5
since the polygon has 5 sides, it is a pentagon
Answer:
pentagon
Step-by-step explanation:
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Given J(1, 1), K(3, 1), L(3, -4), and M(1, -4) and that J'(-1, 5), K'(1, 5), L'(1, 0), and M'(-1, 0). What is the rule that tran
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(x; y) -> (x - 2; y + 4)
J(1; 1) ⇒ J'(1 - 2; 1 + 4) = (-1; 5)
K(3; 1) ⇒ K'(3 - 2; 1 + 4) = (1; 5)
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