# SOLUTION: This is a problem on my Geometry Study guide for the final exam: SR is a diameter of circle M. Measurement of angle RMT = (x+5)degrees, measurement of angle UMR = (x+10)degrees,

Algebra ->  Algebra  -> Circles -> SOLUTION: This is a problem on my Geometry Study guide for the final exam: SR is a diameter of circle M. Measurement of angle RMT = (x+5)degrees, measurement of angle UMR = (x+10)degrees,      Log On

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 Geometry: Circles and their properties Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Circles Question 615651: This is a problem on my Geometry Study guide for the final exam: SR is a diameter of circle M. Measurement of angle RMT = (x+5)degrees, measurement of angle UMR = (x+10)degrees, and measurement of angle SMT = (3x-5)degrees. What is the value of x? The answer is 45 but I do not know how to solve this problem. Thank youAnswer by MathTherapy(1425)   (Show Source): You can put this solution on YOUR website!This is a problem on my Geometry Study guide for the final exam: SR is a diameter of circle M. Measurement of angle RMT = (x+5)degrees, measurement of angle UMR = (x+10)degrees, and measurement of angle SMT = (3x-5)degrees. What is the value of x? The answer is 45 but I do not know how to solve this problem. Thank you It's best to draw a diagram, so everything will be clearer. 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 Since angle RMT = , and angle SMT angle = , we can say that: x + 5 + 3x – 5 = 180 x + 3x + 5 - 5 = 180 4x = 180 x = , or Angle UMR is insignificant, regardless of where it's drawn. Send comments and “thank-yous” to “D” at MathMadEzy@aol.com