document.write( "Question 1083219: Find the measure of angle Y.
\n" ); document.write( " circle with points W, X, Y and Z, angle WXZ measures 5 x minus 6 degrees and angle WYZ measures 2 x plus 12 degrees \n" ); document.write( "

Algebra.Com's Answer #697250 by ikleyn(52805) $\"\"$ $\"About$

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document.write( "The angles WXZ and WYZ are inscribed angles to the circle, and they leaning on the same arc WZ.\r\n" );
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document.write( "So these angles are congruent (the measure of each angle is half of the measure of the arc).\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "5x - 6 = 2x + 12,\r\n" );
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document.write( "3x = 12 + 6  --->  3x = 18  --->  x =  = 6.\r\n" );
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document.write( "Answer.  x is 6 degrees.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson \r
\n" ); document.write( "\n" ); document.write( " - An inscribed angle in a circle \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( " GEOMETRY - YOUR ONLINE TEXTBOOK \r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part if this textbook under the topic
\n" ); document.write( "\"Properties of circles, inscribed angles, chords, secants and tangents\".\r
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