How Do You Find the Measure of an Angle Created by Intersecting Chords in a Circle?

How Do You Find the Measure of an Angle Created by Intersecting Chords in a Circle?

Note:

This tutorial shows you how to use your knowledge of intersecting chords in a circle to find a missing angle measurement.

Keywords:

  • intersecting chords
  • circle
  • angle
  • intercepted arcs

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

  • Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

      • What are Vertical Angles?What are Vertical Angles?

      What are Vertical Angles?

      Vertical angles have a very special quality. They are always congruent to one another! Check out this tutorial to learn about and see how to identify vertical angles!

Further Exploration

  • Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.