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## #1 2013-01-23 14:35:22

cooljackiec
Member
Registered: 2012-12-13
Posts: 185

### angles in geometry

In a heptagon, there are 3 right angles, what is the measure of the greatest possible integer angle in the remainder of the angles?

I see you have graph paper.
You must be plotting something

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## #2 2013-01-23 21:02:51

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,763

### Re: angles in geometry

hi cooljackiec

Angle sum is 900 degrees, so if you subtract 3 x 90 you're left with 630 to be shared out between 4 angles.

I cannot see any reason why one of them shouldn't be 179 if you want a convex polygon or even 359 if reflex angles are ok.  That would still leave you with 281 for the remaining 3 angles.

(My geometry software defaults measured angles to the acute or obtuse value so I've had to 'doctor' the measure to get the reflex value.)

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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