Find the missing measure of the arc formed by the endpoints of a central angle.
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Answer:
The missing measure of the arc is 125°.
Step-by-step explanation:
Since the circle is 360°, you would first subtract 360 by the degrees given: 360-115-35-85 and the sum is 125. Then, you would set 125 equal to -32x-3 to solve for x.
[tex]125=-32x-3[/tex]
[tex]+3[/tex] [tex]+3[/tex]
-----------------------
[tex]\frac{128}{-32} =\frac{-32x}{-32}[/tex]
[tex]x=-4[/tex]
The missing measure of the arc is 125°.