Answer:
201° and 60°
Step-by-step explanation:
(2)
∠ FHG = [tex]\frac{1}{2}[/tex]( arc ES + arc FG ), that is
128° = [tex]\frac{1}{2}[/tex] ( 55 + FG ) ← multiply both sides by 2
256° = 55° + FG ( subtract 55° from both sides )
201° = major arc FG
(3)
The measure of the secant- tangent angle FTS is half the difference of the intercepted arcs, that is
∠ T = [tex]\frac{1}{2}[/tex] ( arc FS - arc US )
= [tex]\frac{1}{2}[/tex] (170 - 50)°
= [tex]\frac{1}{2}[/tex] × 120°
= 60°
