Respuesta :

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