Question

If the measure of arc BCD is 230°, what is the measure of angle BCD?

58°

40°

50°

65˚

Answer 1

arc BCD = 230, so angle BAD = 230/2 = 115

Now use the idea that opposite angles in an inscribed quadrilateral are supplementary


angle BAD + angle BCD = 180

115 + angle BCD = 180

angle BCD = 180-115

angle BCD = 65