Math Is Fun Forum

cooljackiec

Member

Registered: 2012-12-13

Posts: 186

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?

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

Bob

Administrator

Registered: 2010-06-20

Posts: 10,143

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

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Children are not defined by school ...........The Fonz
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Sometimes I deliberately make mistakes, just to test you!  …………….Bob