Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

two chords intersect in a circle forming right angles. what is the sum of the measures of a pair of opposite arcs

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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

If two chords, say AB and then BC intersect at B so that ABC is 90 degrees, then you have a right triangle ABC. Let O be the center of the circle and consider the arc AOC. By the inscribed angle theorem, ½ Angle (AOC) = Angle (ABC). But this means Angle (AOC) is 180 degrees. So A-O-C is a straight line segment. But O is the center, so AC must then be the diameter. So the line segment AC splits the circle into two equal arcs, both of 180 degrees. So Arc AB + Arc BC = 180.
thanks
no problem

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

dont understand

Not the answer you are looking for?

Search for more explanations.

Ask your own question