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1) In concave equilateral pentagon ABCDE, Angle A is qual to Angle B is equal to 90 degrees. What is the degree measure of angle E?

 

2) Alex thinks 131 degrees are neat. What is the maximum number of interior angles of a convex n-gon that can have measure 131 degrees?

 Jan 18, 2018
 #1
avatar+98091 
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1) In concave equilateral pentagon ABCDE, Angle A is qual to Angle B is equal to 90 degrees. What is the degree measure of angle E?

 

I believe we have something like this  :

 

Angle A  =  B   = 90°   and the pentagon is equilateral

 

If we connected  EC, triangle  DEC is equilateral.....so angle DEC  = 60°

And angle AEC  =  90°

And angle AED  =  AEC - DEC  =  90°  -  60°   =  30°  =  angle  E

 

 

cool cool cool

 Jan 18, 2018
edited by CPhill  Jan 18, 2018
 #2
avatar+98091 
+1

2) Alex thinks 131 degrees are neat. What is the maximum number of interior angles of a convex n-gon that can have measure 131 degrees?

 

I'm less sure about this one....but.....based on this figure.....I  get  a   max of 6 angles that measure 131°

 

 

cool cool cool

 Jan 18, 2018

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