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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

If the measure of arc BC is 182 degrees and the measure of arc AC is 78 degrees what is the measure of angle 1Answer choiceA52 degreesB91 degreesc104 degreesD78 class=

Respuesta :

Given:

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

Explanation:

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

So,

From the properties:

[tex]1=\frac{(BC-AC)}{2}[/tex]

Then,

Put the values into the above formula:

So,

[tex]\begin{gathered} 1=\frac{(BC-AC)}{2} \\ 1=\frac{(182-78)}{2} \\ 1=\frac{104}{2} \\ 1=52 \end{gathered}[/tex]

Final answer:

Hence, the correct option is A.

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