Question 1083233
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<pre>
1.  Make a sketch.


2.  Use the <U>Theorem</U>:

        The angle between two chords intersecting inside a circle has the measure half the sum of the measures the arcs intercepted by the chords. 


3.  It gives the measure of the angle BEC = {{{(1/2)*(65^o+80^o)}}} = 72.5 degs.
</pre>

See the lesson 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Circles/The-angle-between-two-chords-intersecting-inside-a-circle.lesson>The angle between two chords intersecting inside a circle</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook on Geometry

&nbsp;&nbsp;&nbsp;&nbsp;<A HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> 

in this site.


The referred lesson is the part if this textbook under the topic 
"<U>Properties of circles, inscribed angles, chords, secants and tangents</U>".