Angles Formed by Chords, Secants, and Tangents

If an inscribed angle intercepts a diameter, then it is a(n) _ angle.

• Obtuse

• Right

• Acute

What is the value of x? (Hint: Segment Lengths in Circles)

• 1.03

• 2.12

• 1.25

• 0.87

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

• 42.4

• 52

• 52.3

• 42

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

• measures

• sum

• twice

• half

If a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

• difference

• sum

• twice

• half

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

In circle O, the measure of arc AB = 120 and measure of arc BC = 150. Find the measure of angle 2.

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

• 140⁰

• 80⁰

• 280⁰

• 40⁰

In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is __________ to the chord.

• parallel

• congruent

• perpendicular

• bisect

What is the relationship between an angle formed by a chord and a tangent and its intercepted arc?

• They are congruent.

• The angle is half of the arc.

• They have no relationship.

• The arc is half of the angle.