Answer:
m BC = 72° , ∠ BAC = 36°
Step-by-step explanation:
(a)
The measure of an arc is the same as the measure of the central angle that intercepts it , then
m BC = ∠ BDC = 72°
(b)
The measure of the inscribed angle BAC is half the measure of its intercepted arc BC , then
∠ BAC = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 72° = 36°
