Secants, Tangents, and Angles Answers

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21
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A secant and a tangent meet at a 90° angle outside the circle. What must be the difference between the measures of the intercepted arcs?

A
45°
B
90°
C
180°
D
270°
22
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Circle O is shown. Tangents X Z and Y Z intersect at point Z outside of the circle. The first arc formed is arc b, and the second arc formed is arc a.

Question illustration
A
m∠XZY = (a + b)
Option A
B
m∠XZY = (a – b)
Option B
C
m∠XOY = (a + b)
Option C
D
m∠XOY = (a – b)
Option D
23

Circle P is shown. Tangents R S and T S intersect at point S outside of the circle to form angle x. The first arc formed is arc y, and the second arc formed is arc z.

Question illustration
A
The sum of y and z must be 2x.
B
The sum of y and z must be x.
Option B
C
The difference of z and y must be 2x.
D
The difference of z and y must be x.
Option D

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