Question

If the measure of angle AED=160 degrees and the measure of BD=80 degrees. What is the measure of angle BCD?

Answer 1

I think 160 degrees is measure of arc AED ... ???

Answer 2

yes.. sorry!

Answer 3

and bd is an arc as well

Answer 4

40 degrees

Answer 5

bcd is 40?

Answer 6

Yes the formula would give:\[\frac 12 \left(AED-BD \right)= \frac 12 (160-80)\]

Answer 7

Yes, measure of BCD is 40 degrees.

Answer 8

thank you!

Answer 9

The measure of an angle formed by a secant and a tangent drawn from a point OUTSIDE the circle is half the the difference of the intercepted arcs.

1/2(160 - 80) = 1/2 (80) = 40