CPM Homework Help : INT2 Problem 10-53

In the diagram below, $\overline{AD}$ is a diameter of $⊙B$ . Each part is a new problem. Show all work.

Circle with points, A, C, and D, on the circle, and B, in the center. Line segments connect B to all 3 points on the circle.

If $m∠A = 35°$ , what is $m∠CBD$ ?
Hint (a):
What is the relationship between the length of $AB$ and the length of $BC$ ?
More Help (a):
Remember that a straight line has a total $m∠ of 180°$ .
If $m∠CBD = 100°$ , what is $m∠A$ ?
Hint (b):
See hints for part (a).
Answer (b):
$50°$
If $m∠A = x$ , what is $m∠CBD$ ?
Hint (c):
Notice the relationship between the given angles and their respective answers