In the figure below, c is the intersection of ad and be. what is the measure of bac

Since there are vertical angles, we know <BCA is 45.
We know that there are 180 degrees in a triangle, so let's set an equation.
35+45+x=180
80+x=180
x=100
The answer is B. 100.

Okay, so the opposite angles in a intersection are going to be the same, so the angle at c is 45 degrees. Knowing that triangles have 180 degrees, subtract the 35 and the 45 degrees from 180. This leaves the final angle being 100 degrees, or B as your final answer.

Answer light in color; silica-rich;