Abrianna A.

asked • 02/22/18# how to go find a measure for a angle that a polygon is inside a other polygon

I don't know how to solve it please help!!

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## 1 Expert Answer

John M. answered • 02/22/18

High School and College Science Tutor

In a regular polygon the measure of each angle is (180(n-2))/n, where n is the number of sides (or angles because they are the same). Notice that polygon ABDFH has 5 sides (it's a pentagon), and polygon ABCEGJ has 6 sides (it's a hexagon). Angle ABD is part of the pentagon and angle ABC is part of the hexagon.

**∠ABD = (180(5-2))/5 = 180(3)/5 = 108°**

**∠ABC = (180(6-2))/6 = 180(4)/6 = 120°**

**∠ABC = ∠ABD + ∠CBD**

I'll let you find the measure of angle CBD.

Abrianna A.

thank you so much!!

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02/22/18

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02/22/18