Question

Maria inscribed a quadrilateral ABCD in a circle, as shown below.



If the measure of arc BCD is 260°, what is the measure of angle BCD?

80˚

40°

65°

50°

Answer 1

angle BAD should be 130 not 135

Answer 2

another way to think of it is that arc BAD is 360 - 260 = 100 degrees


So by the inscribed angle theorem, angle BCD = 1/2(arc BAD) = 1/2(100) = 50

Answer 3

if the measure of arc BCD is 260 then the measure of arc BAD would be 100 (260+100=360) and then the the measure of angle BCD would be the half of arcBAD=50

Answer 4

Thank you both!<3

Answer 5

you're welcome

Answer 6

oh yeaa (: