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# Secant Angles and Secant – Tangent Angles - PowerPoint PPT Presentation

Secant Angles and Secant – Tangent Angles. A secant line intersects the circle at exactly two points. SECANT sounds like seconds. Case I: Vertex is ON the circle. ANGLE. ARC. ARC. ANGLE. Ex. 1 Find m 1. A. B. 1. 124 °. C. m  1 = 62 °. Ex. 2 Find m 1. 1. 84 °.

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Secant Anglesand Secant – Tangent Angles

A secant line intersects the circle at exactly two points.

SECANT sounds like seconds

Case I:Vertex is ON the circle

ANGLE

ARC

ARC

ANGLE

Ex. 1 Find m1.

A

B

1

124°

C

m1 = 62°

Ex. 2 Find m1.

1

84°

m1 = 42°

108°

Ex. 3 Find m1.

1

m1 = 126°

Case II:Vertex is inside the circle

A

ARC

B

ANGLE

D

ARC

C

Looks like a PLUS sign!

Ex. 4 Find m1.

93°

A

B

1

D

C

113°

m1 = 103°

Ex. 5 Find mQT.

mQT = 100°

N

Q

84°

92°

M

T

Case III:Vertex is outside the circle

C

ANGLE

small ARC

A

D

LARGE ARC

B

LARGE ARC

LARGE ARC

small ARC

ANGLE

small ARC

ANGLE

Ex. 6 Find m1.

1

15°

A

D

65°

B

m1 = 25°

Ex. 7 Find m AB.

mQT = 16°

A

27°

70°

B

Ex. 8 Find m1.

260°

1

m1 = 80°