Mathematics: The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘, and (x+5)∘. what is x?

The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘,

Ответ:

john67728

10.01.2022

The sum of the exterior angles is 360 deg. Each interior angle is supplementary to its corresponding exterior angle, so

$(180-x)^\circ+(180-x-1)^\circ+(180-x-2)^\circ+(180-x-3)^\circ+(180-x-4)^\circ+(180-x-5)^\circ=(1065-6x)^\circ=360^\circ$

So you have

$1065-6x=360\implies 6x=705\implies x=\dfrac{235}2=117.5$

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Ответ:

kmsg2000

17.08.2020

Mathematics

.3333 Or .33... The decimals after .33 means it continues.

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The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘, and (x+5)∘. what is x?

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