In circle O, RT and SU are diameters. If m = m, what is m? 47° 52° 64° 87°

From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.

13x = 15x - 8

15x - 13x = 8

2x = 8

x = 8/2 = 4

Thus, 15x - 8 = 15 (4) - 8 = 60 - 8 = 52.

RT is a diameter, which means that mRT = 180

mRV + mVU + 52 = 180

mRV + mVU = 180 - 52 = 128

Now, given that mRV = mVU,

Thus, 2mVU = 128

Therefore, mVU = 128 / 2 = 64°