Answer:
x = 40
Step-by-step explanation:
Measure of an external angle of a circle = ½(difference of the intercepted arcs)
This means that:
½(PQ - RS) = m<T
m<T = x/2
PQ = (x + 70)°
RS = (x + 30)°
Plug in the values
½((x + 70) - (x + 30)) = x/2
½(x + 70 - x - 30) = x/2
½(x - x + 70 - 30) = x/2
½(0 + 40) = x/2
½(40) = x/2
20 = x/2
Multiply both sides by 2
20*2 = x
40 = x
x = 40
