Circle Angle Relationships

The video tutorial covers various angle relationships in circles, including those formed by tangents, chords, and secants. It explains theorems related to these angles and provides examples to illustrate how to calculate them. The tutorial also distinguishes between angles inside and outside the circle, emphasizing the differences in their calculations.

What is the measure of an angle formed by a tangent and a chord intersecting at a point on the circle?

• Equal to the central angle

• Half the measure of the arc it intercepts

• Twice the measure of the arc it intercepts

• Equal to the arc it intercepts

If an inscribed angle intercepts an arc of 130°, what is the measure of the angle?

• 65°

• 130°

• 90°

• 260°

Given an arc of 250°, what is the measure of the inscribed angle?

• 75°

• 125°

• 250°

• 500°

What is the relationship between the angles formed by two intersecting chords inside a circle?

• Each angle is equal to the difference of the arcs it intercepts

• Each angle is twice the sum of the arcs it intercepts

• Each angle is half the sum of the arcs it intercepts

• Each angle is equal to the arc it intercepts

If two chords intersect inside a circle and the arcs they intercept are 130° and 150°, what is the measure of the angle formed?

• 140°

• 70°

• 280°

• 90°

What is the measure of an angle formed outside a circle by two tangents?

• Equal to the smaller arc

• Half the difference of the intercepted arcs

• Equal to the larger arc

• Half the sum of the intercepted arcs

If the arcs intercepted by an external angle are 178° and 76°, what is the measure of the angle?

• 102°

• 178°

• 51°

• 76°