Geometry problem involving triangles and angle measurement.
A diagram showing two geometric figures. Figure A is a right triangle with a point labeled P on the hypotenuse, and a line segment from the right angle vertex to point P. Figure B is a triangle with vertices labeled A, B, and C, and a point D on side BC. A line segment from A to D is drawn, and the angle at D is labeled 114 degrees. The problem asks to find the measure of the indicated angles.