Respuesta :

Answer:

C

Step-by-step explanation:

We can use the formula for chords ,and tangents

< ABC = 1/2 (ADYC - AC)

61 = 1/2(y - 119)

Answer:

Option C.  [tex]\frac{1}{2}[/tex] ( y-119 ) = 61

Step-by-step explanation:

In the given diagram AB and AC are tangents to circle O.

Length of arc AC = 119°

Inscribed angle between tangents AB and BC is 61°

We have to find the measure 'y' of arc ADC.

As we know the formula

m∠A = [tex]\frac{1}{2}[/tex] [m( arc ADC ) -m(arc AC)]

Now we put the values in this equation

61 = [tex]\frac{1}{2}[/tex] ( y-119 )

So Option C 61 = [tex]\frac{1}{2}[/tex] ( y-119 ) is the answer.