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.
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
Angle UMR is insignificant, regardless of where it's drawn.
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com