Find mHT
A) 140°
C) 145°
B) 150°
D) 120°

Answer:
A
Step-by-step explanation:
The secant- secant angle is half the difference of the intercepted arcs, then
[tex]\frac{1}{2}[/tex] (20x - 7x - 11) = 40 ( multiply both sides by 2 to clear the fraction )
13x - 11 = 80 ( add 11 to both sides )
13x = 91 ( divide both sides by 13 )
x = 7
Then
arc HD = 20x = 20 × 7 = 140° → A