Answer:
x = 40°
Explanation:
Measure of external angle outside a circle = ½ of the difference of the measurements of the intercepted arcs
Thus:
m<T = ½(arc PQ - arc RS)
x/2 = ½[(x + 70) - (x + 30)]
Multiply both sides by 2
x = (x + 70) - (x + 30)
x = x + 70 - x - 30 (distributive property)
Add line terms
x = x - x + 70 - 30
x = 40°