Hi there,

Need some help with this circle geometry question:

Point P is marked inside a regular hexagon ABCDEF so that Angle BAP = Angle DCP = 50 degrees.

Find the size of angle ABP.

Thanks!

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- Sep 9th 2012, 12:05 AMeskimogeniusCircle Geometry Help - Very Difficult
Hi there,

Need some help with this circle geometry question:

Point P is marked inside a regular hexagon ABCDEF so that Angle BAP = Angle DCP = 50 degrees.

Find the size of angle ABP.

Thanks! - Sep 9th 2012, 01:03 AMMaxJasperRe: Circle Geometry Help - Very Difficult
- Sep 9th 2012, 03:02 AMeskimogeniusRe: Circle Geometry Help - Very Difficult
- Sep 14th 2012, 08:46 PMTim28Re: Circle Geometry Help - Very Difficult
We know that the interior angles of a regular hexagon are 120 degrees.

The triangles with apex P are congruent by side-angle-side.

So all the base angles are 50d or 70d.

So angle ABP is 70 degrees - Sep 14th 2012, 11:37 PMeskimogeniusRe: Circle Geometry Help - Very Difficult
How do you know that the triangles are congruent? They are most certainly not. Only one side is equal in each of the triangles, that is all you know.