Darcy mounted a motion sensor so it would light a path to the door on her deck. if you know ab = 10 feet, and be and bd trisect ∠abc, what is the perimeter of the deck area to the right of the beam of light (△bdc)?

part 1: what other angles or sides of △bdc can you label given that side ab is 10 feet, be and bd trisect ∠abc? label the diagram accordingly, and explain your reasoning. (4 points)

part 2: use the trigonometric ratios 30° and 60° to calculate and label the remaining sides of △bdc. show your work. (3 points)