The value of x in the figure above is 44° ( option D)
The relationship between an arc and the angle substended at the circumference is given by
Angle = 1/2 measures of arc.
If the angle is at the center then, the measure of arc is equal to the arc at the centre
Therefore;
angle T = 1/2 × 202
angle T = 101°
The sum of angles in a triangle is 180°
therefore;
101 + 35 + x = 180
136 + x = 180
x = 180 - 136
x = 44°
Therefore, the value of x is 44°