Intersecting Secants and Tangents: Arc and Angle Measures

The measure of an angle formed by the intersection of two tangents on the exterior of the circle is half the sum of the measures of the major and minor arcs.

• TRUE

• FALSE

The measure of an angle formed by the intersection of a secant and a tangent on the exterior of the circle is half the difference of the measures of their intercepted arcs.

• TRUE

• FALSE

The measure of an angle formed by two secants intersecting in the interior of the circle is equal to half the sum of the measures of the arc intercepted by the angle and the angle vertical to it.

• TRUE

• FALSE

The measure of an angle formed by two secants intersecting at the exterior of the circle is equal to half the sum of the two intercepted arcs.

• TRUE

• FALSE

Find the value of x.

• 15

• 18

• 21

• 28

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

Given: \overline{XY}=2x and \overline{ZY}=6x-4 are tangent to Circle A at Point X and Z. Find the value of x.

• 1

• 2

• 3

• 4