Math Is Fun Forum

Stefani

Member

Registered: 2009-04-29

Posts: 3

Geometry: The missing angles of a quadrilateral

KLMN is a quadrilateral where KNM = 84 degrees. F is a point on KL such that FN bisects KNM. FN is extended through N to G, and MN through N to H. Find the values of the angles a) HNG and b)MNG

Could anyone explain how to draw this in simple terms? It is a bit confusing. So far I have a drawn a quadrilateral with the corners marked from the top left hand side as K, all the way around clockwise to N.

coffeeking

Member

Registered: 2007-11-18

Posts: 44

Re: Geometry: The missing angles of a quadrilateral

Construct your quadrilateral with the corners marked from the top right hand side as K, all the way anti-clockwise to N. It will be much easier this way.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Geometry: The missing angles of a quadrilateral

Hi Stefani;

After following coffeeking's suggestion, as this is the standard way of doing it. Extend the line FN to point G. Then extend the line MN to point H

Angle FNM is 42 deg because FN bisects the angle KNM, HNG is also 42 deg because vertical angles are equal. MNG is just 180 - 42 = 138 deg

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