4-The Exterior Angle Theorem - Kuta Software

Kuta Software - Infinite Geometry

The Exterior Angle Theorem

Find the measure of each angle indicated.

1)

U

?

T

50?

120?

V R

3)

S

70?

UY

?

50?

T

5)

E

?

CT

140?

45?

D

7)

T

G

?

E 28?

58?

F

Solve for x.

9)

P

30?

RH

8 + 6x

4x + 2

Q

Name___________________________________ Date________________ Period____

2)

V

50?

?

U

T

115?

P

4)

S

T

80?

25?

R

?

P

6)

T

80?

110?

S J

U

?

8)

G P

?

35? 95?

R

Q

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Worksheet by Kuta Software LLC

10)

T

5x + 10

S

58?

11x + 2 U A

12)

C

10x - 10

AQ

12x - 4

30?

B

14)

D

BV

9x - 2 20x + 5

40?

C

Find the measure of the angle indicated. 15) Find mS.

140?

J R

S

3x + 4 8x + 4

T

17) Find mFAB.

C

55?

3x + 2

B

13x - 3 A

F

11)

C

D

46? -1 + 8x

18x + 5

B

W

13)

C

15x + 5

120?

AD

22x + 4

B

16) Find mH.

G

H

89? 5x - 7

14x + 1

F D

18) Find mYDC.

Y

15x + 5

D

80? C

6x + 6

B

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

The Exterior Angle Theorem

Find the measure of each angle indicated.

1)

U

?

T

50?

120?

V

R

70?

3)

S

70?

UY

?

50?

T

120? 5)

E

?

CT

140?

45?

D

95? 7)

E 28?

86?

T G

?

58?

F

Solve for x.

9)

P

30?

RH

8 + 6x

4x + 2

Q

12

Name___________________________________ Date________________ Period____

2)

V

50?

?

U

T

115?

P

65? 4)

25?

S

T

80?

R

?

P

105?

6)

T

80?

110?

S J

30?

U

?

8)

G P

?

35? 95?

R

Q

130?

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-1-

Worksheet by Kuta Software LLC

10)

T

5x + 10

S

58?

11x + 2 U

A

11 12)

C

10x - 10

AQ

12x - 4

30?

B

12

14)

D

BV

9x - 2 20x + 5

40?

C

3

Find the measure of the angle indicated.

15) Find mS.

S

140?

J R

40?

3x + 4

8x + 4

T

17) Find mFAB.

C

55?

3x + 2

B

13x - 3 A

F

75?

11)

C

D

46? -1 + 8x

18x + 5

B

W

4

13)

C

15x + 5

120?

AD

3

22x + 4

B

16) Find mH.

G

H

89? 5x - 7

14x + 1

F

D

38? 18) Find mYDC.

Y

15x + 5

D

80? C

6x + 6

B

140?

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Worksheet by Kuta Software LLC

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