Question

If the measure of arc BC is 182 degrees and the measure of arc AC is 78 degrees, what is the measure of angle 1?Answer choice:A)52 degreesB)91 degreesc)104 degreesD)78 degrees

Answer 1

Given:

There are given that the arc of BC is 182 degrees and the measure of arc AC is 78 degrees.

Step-by-step explanation:

To find the value of the angle of 1, we need to use the circle properties:

So,

From the properties:

`1=((BC-AC))/(2)`

Then,

Put the values into the above formula:

So,

`\begin{gathered} 1=((BC-AC))/(2) \\ 1=((182-78))/(2) \\ 1=(104)/(2) \\ 1=52 \end{gathered}`

Final answer:

Hence, the correct option is A.