2. In triangleRST, mangR = (2x + 10)­­°, mangS = (2x + 25)°, and mangT = (x – 5)°. Find the value of x. (Points : 1

Note that the sum of interior angles of a triangle is equal to 180 degrees. Therefore, we get the sum of angles R, S and T, then equate to 180:

(2x + 10) + (2x + 25) + (x - 5) = 180
Solving,
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 30 degrees

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