Help with a geometry question
I was wondering if anyone could
1)Check my interpretation/drawing of the question
2)Help me solve it
Here is the question:
A circle with centre P circumscribes triangle ABC (ie: touches each vertex). In the triangle: Angle A=75o and Angle B=60o. Construct tangents at points A and B, and extend them to intersect at D-outside the circle.
Show that ABD is an isosceles triangle with a right angle at D.
(Hint: you may need to construct some extra lines within triangle ABC)
Here is what I believe is described in the first paragraph:
IMG_0007.jpg picture by alexandersaver - Photobucket
Could anyone help me solve this( as well as where I would put the xtra lines)