Intersecting Secants and Tangents: Arc and Angle Measures

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.

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

Solve for x.

• 140

• 89

• 51

• 38

Find the measure of arc AB.

• 17

• 34

• 68

• 146

Find the value of x.

• 10

• 181

• 34

• 40

Solve for x.

• 29

• 33

• 41.5

• 50

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

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 or in congruent circles, two minor arcs are congruent if and only if their corresponding ___________ are congruent.

• central angle

• inscribed angle

• intercepted arc

• congruent arc