document.write( "Question 1190528: Solve the problem and show the solutions.\r
\n" ); document.write( "\n" ); document.write( "The measure of the angle formed by two tangents to a circle is 80 degrees. Find the measure of the intercepted arc. \n" ); document.write( "

Algebra.Com's Answer #822203 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( "Here is the operative geometry principle:

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document.write( "When two tangents or secants from an external point intersect a circle,\r\n" );
document.write( "the measure of the angle between the tangents or secants is half the\r\n" );
document.write( "difference between the measures of the two intercepted arcs\r\n" );
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\n" ); document.write( "In this problem with two tangents, the two tangents divide the whole circle into two arcs with arc lengths x and (360-x) degrees.

\n" ); document.write( "So the 80 degree measure of the given angle is half the difference between the measures of those two arcs:

\n" ); document.write( " $\"80+=+%28%28360-x%29-x%29%2F2\"$

\n" ); document.write( "Solve using basic algebra....

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