document.write( "Question 1135711: A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What are the measures of those two angles? \n" ); document.write( "

Algebra.Com's Answer #753372 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The two other angles are 3x and 14x, where x is thoir common measure (now unknown).\r\n" );
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document.write( "Using the fact that the sum of interior angles of any triangles is 180 degrees, you have an equation\r\n" );
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document.write( "    3x + 14x + 10 = 180,    or\r\n" );
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document.write( "    17x = 180 - 10\r\n" );
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document.write( "    17x = 170   =======>  x = 170/17 = 10 degrees.\r\n" );
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document.write( "Then the two unknown angles are 3*10 = 30 degrees  and  14*10 = 140 degrees.\r\n" );
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document.write( "ANSWER.  Two unknown angles are 30 degrees  and  140 degrees.\r\n" );
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