SOLUTION: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?

SOLUTION: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?

Algebra.Com

Question 335663: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?

Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
the arc AF=70 and arc BE=360-(50-30-70)=210
--
The angle FDA is the an interior non-central angle and its defined by the average of the arc AF and arc BE,
--
angle FDA=(70+210)/2=140 degrees
RELATED QUESTIONS
Secants AE and BF intersect at point D inside the circle. Given that the measure of arc... (answered by jrfrunner)

In circle O, AX and BY intersect at E. If Angle BXY = 40°, Angle YBX = 55°, and... (answered by greenestamps)

Question 8 If AB = 5.5, CD = 7, and FE = 19.5, calculate the values of line... (answered by MathLover1)

Y is the center of the circle. Arc CD = 30° Arc AB = Arc AE Arc ED = 120° YC is... (answered by Edwin McCravy,greenestamps)

In the circle below, chord CD intersect chord AB at E http://i.imgur.com/4STGEkQ.jpg (answered by solver91311)

Points A,B, and C lie on circle R and C does not lie on arc AB. If Arc AB = 125, then (a) (answered by scianci)

Chord AB and CD intersect each other at O inside the circle. AO = 8cm, CO= 12 cm, and DO... (answered by Edwin McCravy)

In a circle, secant PB and tangent QP meet at Point P outside of the circle. Find the... (answered by ikleyn)

In a circle, secant PAB and tangent QP meet at Point P outside of the circle. Find the... (answered by ikleyn)