SOLUTION: The central angle of an arc AB=60deg and that of the arc CD=40deg on the same circle. If chords BD and AC intersect each other inside the circle,Determine the angle of intersectio

Algebra ->  Circles -> SOLUTION: The central angle of an arc AB=60deg and that of the arc CD=40deg on the same circle. If chords BD and AC intersect each other inside the circle,Determine the angle of intersectio      Log On


   

Question 1143641: The central angle of an arc AB=60deg and that of the arc CD=40deg on the same circle. If chords BD and AC intersect each other inside the circle,Determine the
angle of intersection of the chord.
---can you pls draw the fig. Thankyou
Answer by greenestamps(13208) About Me  (Show Source):
You can put this solution on YOUR website!


You can draw the figure yourself. All you need is two chords intersecting in a circle. It might help if arc AB looks like about 60 degrees and arc CD looks like about 40 degrees -- but it really doesn't matter.

Then the answer to the question is simple: the measure of the angle of intersection of the two chords is the average of the measures of the two arcs the chords cut off.

ANSWER: (60+40)/2 = 50 degrees

Of course there are also angles of 180-50 = 130 degrees where the chords intersect.