document.write( "Question 615651: This is a problem on my Geometry Study guide for the final exam:
\n" ); document.write( "SR is a diameter of circle M.
\n" ); document.write( "Measurement of angle RMT = (x+5)degrees,
\n" ); document.write( "measurement of angle UMR = (x+10)degrees, and
\n" ); document.write( "measurement of angle SMT = (3x-5)degrees.
\n" ); document.write( "What is the value of x?
\n" ); document.write( "The answer is 45 but I do not know how to solve this problem.
\n" ); document.write( "Thank you
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Algebra.Com's Answer #387267 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
This is a problem on my Geometry Study guide for the final exam:
\n" ); document.write( "SR is a diameter of circle M.
\n" ); document.write( "Measurement of angle RMT = (x+5)degrees,
\n" ); document.write( "measurement of angle UMR = (x+10)degrees, and
\n" ); document.write( "measurement of angle SMT = (3x-5)degrees.
\n" ); document.write( "What is the value of x?
\n" ); document.write( "The answer is 45 but I do not know how to solve this problem.
\n" ); document.write( "Thank you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It's best to draw a diagram, so everything will be clearer.\r
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\n" ); document.write( "\n" ); document.write( "Since this is circle M, then M will be the center-point of the circle. This means that the diameter is SMR, since a diameter goes through the center of a circle\r
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\n" ); document.write( "\n" ); document.write( "Since angle RMT = \"%28x+%2B+5%29%5Eo\", and angle SMT angle = \"%283x+-+5%29%5Eo\", we can say that: \r
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\n" ); document.write( "\n" ); document.write( "x + 5 + 3x – 5 = 180\r
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\n" ); document.write( "\n" ); document.write( "x + 3x + 5 - 5 = 180\r
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\n" ); document.write( "\n" ); document.write( "4x = 180\r
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\n" ); document.write( "\n" ); document.write( "x = \"180%2F4\", or \"highlight_green%2845%5Eo%29\"\r
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\n" ); document.write( "\n" ); document.write( "Angle UMR is insignificant, regardless of where it's drawn.\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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