kabc007 kabc007
  • 15-07-2020
  • Mathematics
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PLEASE HURRY Find the measures of the numbered angle

PLEASE HURRY Find the measures of the numbered angle class=

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sqdancefan
sqdancefan sqdancefan
  • 08-08-2020

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

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