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The central angle of the complementary arc of a circle is 40° more than 3 times the central angle of the arc. Find out the central angles of each arc?

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x + 3x + 40 = 360

4x + 40 = 360

4x = 360 – 40 = 320

x = \(\frac{320}{4}=80\)

∴ central angle of arc

ABC = 80

central angle of arc ADC = 360 – 80 = 280°

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