Angles Formed from Two Tangents Two Secants and a Tangent and a Secant

Which of the following statement is true?

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the sum of the measures of the intercepted arcs.

Which of the following word will make the statement true: If two secants intersect in the exterior of a circle then the measure of the _______ formed is one-half the positive difference of the measures of the intercepted arcs.

• sector

• segment

• angle

• arc

Which of the following statement is false?

• If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

• If a secant and tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If two secants intersect in the exterior of a circle then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

Which of the following word will make the statement true: If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the _______of the measures of the arcs intercepted by the angle and its vertical angle.

• difference

• product

• ratio

• sum

What is in the picture?

• Two tangents

• Two Secants

• Two Chords

• One Secant and One Tangent

Find x

• 10

• 5

• 18

• 9

If two tangents intersect in the exterior of the circle, then the angle formed is one - half the sums of the measures of the intercepted arcs.

• TRUE

• FALSE

If a secant and a tangent intersect at a point of tangency, then the measure of each angle is one half the measure of the intercepted arc.

• TRUE

• FALSE

If two secants intersect in the exterior of the circle, then the angle formed is one - half the positive difference of the measures of the intercepted arcs.

• TRUE

• FALSE

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

• 60

• 55

• 115

• 87