Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2017-01-18 12:52:54

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.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

Offline

#2 2017-01-18 20:36:13

Bob
Administrator
Registered: 2010-06-20
Posts: 10,053

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.

clrC0QU.gif

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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

Offline

Board footer

Powered by FluxBB