Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The remaining two angles each measure (x−32)°. What is the value of xx? Justify your response.(1 point) The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 246°246°. Thus, (x−32)°=246°, and so x=275.The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 147°147°. Thus, (x−32)°=147°, and so x=179.The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 123°123°. Thus, (x−32)°=123°, and so x=155

Sum of interior angles of a hexagon is 720 degrees

Answered: Four of the interior angles of a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Four of the interior angles of a hexagon measure 92°92°, 100°100°, 94°94°, and 140°140°. The remaining two angles each measure (x−32)°. What is the value of xx? Justify your response.(1 point)

The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 246°246°. Thus, (x−32)°=246°, and so x=275.
The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.
The sum of all interior angle measure is 720°720°, so each angle measuring (x−32)° has a measure of 147°147°. Thus, (x−32)°=147°, and so x=179.
The sum of all interior angle measure is 540°540°, so each angle measuring (x−32)° has a measure of 123°123°. Thus, (x−32)°=123°, and so x=155

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