anonymous
  • anonymous
How do you prove properties of angles for a quadrilateral inscribed in a circle?
Mathematics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

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)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
@phi Thanks! :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.