anonymous
  • anonymous
How do you prove properties of angles for a quadrilateral inscribed in a circle?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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phi
  • phi
each of the angles in the quadrilateral is an "inscribed angle" in the circle and we know inscribed angles are equal to 1/2 of the "intercepted arc" notice the inscribed arcs of two angles that are opposite each other form an entire circle see figure |dw:1438958135190:dw|
phi
  • phi
and now with its opposite angle|dw:1438958219451:dw|
phi
  • phi
and we know the two arcs must add up to 360 degrees (i.e. all the way round a circle) and because the angles are 1/2 of their arcs, the angles sum up to 180 degrees (1/2 of 360)

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anonymous
  • anonymous
@phi Thanks! :)

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