AnswersEAP-Geometry B CRTrapezoids and Kites

Secants, Tangents, and Angles Answers

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Circle Y is shown. 2 chords intersect. Angle 1 intercepts an arc with measure 37 degrees. Angle 2 intercepts an arc with measure 25 degrees.

Question illustration
A
6°
B
25°
C
31°
D
37°
2
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Circle O is shown. Tangents C B and A B intersect at point B outside of the circle. The measure of the first arc formed is 126 degrees, and the measure of the second arc formed is 234 degrees.

Question illustration
A
27°
B
54°
C
108°
D
120°
3

Circle Q is shown. Secant L N and tangent P N intersect at point N outside of the circle. Secant L N intersects the circle at point M. Arc M P is y, arc L P is x, and arc M L is z.

Question illustration
A
m∠MNP = (x – y)
Option A
B
m∠MNP = (x + y)
Option B
C
m∠MNP = (z + y)
Option C
D
m∠MNP = (z – y)
Option D
4

Circle Z is shown. Chords A C and B D intersect. The measure of arc C D is 147 degrees and the measure of arc A B is 133 degrees. Angle 2 intercepts the arc with measure 147 degrees. Angle 1 intercepts the arc with measure 133 degrees.

Question illustration
A
70°
B
133°
C
140°
D
147°
5

Circle X is shown in the diagram.

Question illustration
A
m∠1 = (a – b)
Option A
B
m∠1 = (a + b)
Option B
C
m∠1 = (c – d)
Option C
D
m∠1 = (c + d)
Option D

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