AnswersKY-Geometry B-CRSecants, Tangents, and Angles (Sec 10-5)

Secants, Tangents, and Angles Answers

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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.

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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
2
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Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and the second arc formed is 106 degrees.

Question illustration
A
17°
B
35°
C
70°
D
71°
3

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°
4

A circle is shown. Secant R T and tangent U T intersect at point T outside of the circle to form an angle with a measure of 21 degrees. Secant R T intersects the circle at point S. Arc R U is 119 degrees.

Question illustration
A
49°
B
77°
C
98°
D
161°

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