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Angles of intersecting chords theorem.

Formula for angles and intercepted arcs of intersecting chords.


Angles formed by intersecting Chords

Theorem: The measure of the angle formed by two chords that intersect inside the circle is ½   the sum of the chords' intercepted arcs.
    Note: This theorem applies to the angles and arcs of any chords that intersect within the circle. It is NOT necessary for these chords to intersect at the center of the circle for this theorem to apply.
    angles of intersecting chords
    In the diagram on the left, the measure of x is half the sum of the intercepted arcs (arc TE and arc GR)
Use the thoerem for intersecting chordsto find the value of sum of intercepted arcs (assume all arcs to be minor arcs).
example of angle formed by intersecting chords
 Answer 
Use the thoerem for intersecting chordsto find the value of sum of intercepted arcs (assume all arcs to be minor arcs).
picture of chords intersecting in circle
 sum of arcs  
Find the is the measure of AEB and CED

 Measure of Angles  



measurements
What is wrong with this problem, based on the picture below and the measurements on the left?
 Answer