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anonymous
 one year ago
How do you prove properties of angles for a quadrilateral inscribed in a circle?
anonymous
 one year ago
How do you prove properties of angles for a quadrilateral inscribed in a circle?

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phi
 one year ago
Best ResponseYou've already chosen the best response.1each 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
 one year ago
Best ResponseYou've already chosen the best response.1and now with its opposite angledw:1438958219451:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1and 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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