document.write( "Question 1169332: In an isosceles triangle, the ratio of the measure of each base angle to the vertex angle is 2:5. Find the measure of each angle of the triangle. \n" ); document.write( "

Algebra.Com's Answer #794013 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "The vertex angle is 2x;\r\n" );
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document.write( "each of the two base angles is 5x.\r\n" );
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document.write( "The sum of the angles equation is\r\n" );
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document.write( "    2x + 5x + 5x = 180  degrees,   or\r\n" );
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document.write( "        12x      = 180,\r\n" );
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document.write( "          x      = 180/12 = 15.\r\n" );
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document.write( "ANSWER.  The angles are  2*15 = 30 angles (the vertex);\r\n" );
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document.write( "         5*15 = 75 degrees  (each of the two base angles).\r\n" );
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