Respuesta :

Answer:

  17.  C 60°

  18.  D 121°

Step-by-step explanation:

The external angle is half the difference of the intercepted arcs.

17. (161° -41°)/2 = 60°

__

18. (? -59°)/2 = 31°

  ? = 59° +2(31°) = 121°

External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

What is the formula for external angle made by extending two chords?

External angle is half of the difference between angles subtended by arcs.

So in problem 17,

∠C = (161°-41°)/2 = 60°

In problem 18,

We got the external angle = 59°

Let us take the angle subtended by arc = x

so,

(x-59°)/2 = 31°

x = 121°

Therefore, External angle∠C of the given circle is 60°

The angle subtended by the arc VS  is 121°

To get more about circles refer to the link,

brainly.com/question/25938845