Given the figure of the circle P
RT is a diameter
The measure of the angle R = 38
The measure of the arc RU = 90
The measure of the arc is twice the inscribed angle opposite to it
So,
The measure of the arc WT = 2 * 38 = 76
The measure of the arc WR = 180 - 76 = 104
The measure of the arc TU = 180 - 90 = 90
And the measure of the angle T = 90/2 = 45
