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  • 21-04-2024
  • Mathematics
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CENTRAL ANGLES AND ARC MEASURES ILL GIVE BRAINLIST AND EXTRA POINTS IF I CAN PLEASE HELP <3!!

CENTRAL ANGLES AND ARC MEASURES ILL GIVE BRAINLIST AND EXTRA POINTS IF I CAN PLEASE HELP lt3 class=

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jimthompson5910 jimthompson5910
  • 21-04-2024

Answer:  110

Explanation

The four central angles add up to 360 degrees, since they sweep out a full circle.

I'll start at the top and move clockwise to add up the angles shown.

(8x+22)+(8x-27)+(17x-57)+59 = 360

33x - 3 = 360

33x = 360+3

33x = 363

x = 363/33

x = 11

Then,

angle HGK = 8x+22 = 8*11+22 =  110

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