Angles in and out of the circle

• OOUT

IN

What we know so far

• Central angle = arc

• Angle ON the circle = ½ arc

Vertex is inside the circleA

B

CD

ANGLE = (ARC + ARC)2

ANGLE

ARC

ARC

Ex. 1 Find m1. AB

CD

1

93°

113°

Ex. 2 Find mQT. NQ

TM

92o84o

Ex 3: Find x.40o

120o

xo

Vertex is outside the circle

A

B

C

D

ANGLE = (Large ARC Small ARC)2

ANGLE

LARGE ARC

small

ARC

ANGLELARGE

ARC

small ARC sm

all ARCLARGE

ARC

ANGL

E

A

B

D

1

Ex. 4 Find m1.

65°

15°

A

B

Ex. 5 Find mAB.

27°

70°

1

Ex. 6 Find m1.26

0°