document.write( "Question 1191249: Given:
\n" ); document.write( "m∠RST = (2x − 10)°
\n" ); document.write( "m∠TSV = (x + 7)°
\n" ); document.write( "m∠RSV = (4(x − 7))°
\n" ); document.write( "Find: x and m∠RSV in degree \n" ); document.write( "

Algebra.Com's Answer #823091 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It is obvious that  ∠RST   + ∠TSV  = ∠RSV.\r\n" );
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document.write( "Hence,             (2x-10) + (x+7) = 4(x-7).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    2x - 10 + x + 7 = 4x - 28,\r\n" );
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document.write( "        3x  - 3     = 4x - 28,\r\n" );
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document.write( "        28  - 3     = 4x - 3x,\r\n" );
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document.write( "           25       = x.\r\n" );
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document.write( "Thus  x= 25 degrees  and  m∠RSV = 4(25 − 7) = 72 degrees.     ANSWER\r\n" );
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