Question

Helpp please
Which equation could be solved to find y, the measure of adc?

Answer 1

Option C.
`(1)/(2)` ( y-119 ) = 61

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 =
`(1)/(2)` [m( arc ADC ) -m(arc AC)]

Now we put the values in this equation

61 =
`(1)/(2)` ( y-119 )

So Option C 61 =
`(1)/(2)` ( y-119 ) is the answer.

Answer 2

C

Explanation:

We can use the formula for chords ,and tangents

< ABC = 1/2 (ADYC - AC)

61 = 1/2(y - 119)