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Can someone help me with my math I don't understand it

Can someone help me with my math I don't understand it-example-1
User KickinMhl
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1 Answer

4 votes

Answer:

317°

Explanation:

The total measure of the angles around the center of the circle is 360°. The sum of angles in each half (above AB or below AB) is half that, or 180°. So, the sum of angles below the line is 180°. We can use that fact to find x, then the measures of all of the angles.

(7x +1)° +90° +(9x -7)° = 180°

16x = 96 . . . . . divide by °, subtract 84

x = 6 . . . . . . . . divide by 16

Then angle AOD is ...

(7·6 +1)° = 43°

Short arc AD is 43°, so long arc ACD is 360° -43° = 317°.

arc ACD = 317°

User ZPS
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