Secant angles and secant tangent angles
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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 angles and secant tangent angles
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
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
Ex. 6 Find m1.

1

15°

A

D

65°

B

m1 = 25°


Ex 7 find m ab
Ex. 7 Find m AB.

mQT = 16°

A

27°

70°

B


Ex 8 find m 1
Ex. 8 Find m1.

260°

1

m1 = 80°


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