Math Is Fun Forum

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

A peculiar enigma about a quadrilateral

Is it possible to create a quadrilateral with m<E=90, m<F=90, m<G= 67, and m<H = 113? Currently, a bit of tinkering around tells me no, but I would like confirmation.

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The integral of hope is reality.
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Bob

Administrator

Registered: 2010-06-20

Posts: 10,640

Re: A peculiar enigma about a quadrilateral

hi Mathegocart

Draw any line EF and construct right angles at E and at F.

Choose any point G on the line from F and measure an angle of 67.

Extend this line to cut the other line at 113.  It will because the angle sum of a quadrilateral is 360.

This drawing is not accurately drawn.

Bob

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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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