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The measures of six angles of a heptagon are 145, 115, 152, 87, 90, and 150. Find the measure of the seventh angle. 

Show all of your work. frown

 

(Thank you)

AshleyGordo  Jun 28, 2018
 #1
avatar+87294 
+2

The interior  angles of a heptagon sum to   (7 - 2) * 180   = 5 * 180  = 900°

 

So....the remaining angle is just

 

900 - 145 - 115 - 152 - 87 - 90 - 150   =   161°

 

 

cool cool cool

CPhill  Jun 28, 2018
 #2
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+1

I agree

Guest Jun 28, 2018
edited by Guest  Jun 28, 2018
 #3
avatar+67 
+1

Thank you!!

AshleyGordo  Jun 28, 2018

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