Answer:
115 degrees
Step-by-step explanation:
From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.
First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180
180 - 50 = 130
then divide that by two to get the two equal angles
130/2 - 65
angle bisector divides the angles in half so the measures of CBD and BCD are 65/2
that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180
180 - 65/2 -65/2 = 115
