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).

Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.

Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

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.