Angles in a Triangle and The Exterior Angle Theorem Worksheet by Kuta Software LLC, Schemes and Mind Maps of Geometry

A worksheet provided by Kuta Software LLC for students to practice finding the measures of angles in a triangle and applying the Exterior Angle Theorem. The worksheet includes various problems with given angles and requires students to find the missing angles. It is intended for use in a geometry class.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/27/2022

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________
Angles in a Triangle
Find the measure of each angle indicated.
1)
57°
65°
?
2)
40°
?
3)
130°
20°
?
4)
85°
50°
?
5)
102°
137°
?
6)
100°
35°
?
7)
20°
30°
?
8)
155°
60°
?
-1-
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Download Angles in a Triangle and The Exterior Angle Theorem Worksheet by Kuta Software LLC and more Schemes and Mind Maps Geometry in PDF only on Docsity!

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Kuta Software - Infinite Geometry Name___________________________________

Angles in a Triangle Date________________ Period____

Find the measure of each angle indicated.

57 ° 65 °?

40 ° ?

130 ° 20 ° ?

85 ° ?^50 °

102 ° 137 ° ?

100 ° 35 ° ?

20 ° 30 ° ?

155 ° 60 ° ? -1-

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20 °^40 ° 39 °?

60 ° 65 ° 35 °

50 °

86 °

36 ° 84 °

35 ° 23 ° 27 °?

85 ° 115 ° 155 °

20 °^35 ° 156 °

60 ° 45 ° 100 °

68 °

75 ° 45 ° 68 °

79 ° -2-

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Kuta Software - Infinite Geometry Name___________________________________

The Exterior Angle Theorem Date________________ Period____

Find the measure of each angle indicated.

V R 120 ° ?^50 ° U T

T P 115 ° 50 ° ? U V

U Y 50 ° 70 ° ? T S

R P 25 ° 80 ° S? T

D C T 140 ° 45 ° ? E

U S J 110 ° 80 °? T

G T E 28 ° 58 ° ? F

Q P G 35 ° 95 ° ? R Solve for x.

R H 8 + 6 x 4 x + 2 30 ° Q P -1-

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U A

11 x + 2

5 x + 10 58 °

T (^) S

B W

18 x + 5

46 ° −1 + 8 x

C (^) D

C A^ Q

10 x − 10 12 x − 4

30 °

B

A D B

15 x + 5

120 ° 22 x + 4

C

D B V

9 x − 2 20 x + 5

40 °

C Find the measure of the angle indicated.

  1. Find mS. J R

3 x + 4

140 ° 8 x + 4

S T

  1. Find mH. F D

14 x + 1

89 °^5 x^ − 7

G (^) H

  1. Find mFAB. C A F

13 x − 3

3 x + 2 55 °

B

  1. Find mYDC. D^ C Y (^) 15 x + 5

6 x + 6

80 °

B -2-

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20 °^40 ° 39 °? 21 °

60 ° 65 ° 35 °

50 ° 70 °

86 °

36 ° 84 ° 64 °

35 ° 23 ° 27 °? 31 °

85 ° 115 ° 155 °

85 °

20 °^35 ° 156 °

31 °

60 ° 45 ° 100 °

68 ° 137 °

75 ° 45 ° 68 °

79 ° 109 ° -2-

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54 ° 55 ° x + 74 −

70 ° 60 ° 8 x + 2 6

64 ° 27 ° 97 + x

80 °^60 ° x + 51 − Find the measure of angle A.

84 ° x + 59 x + 51 A 44 °

x + 37^ x^ + 67 A 30 °

130 ° 8 x + 4 3 x − 6 A 30 °

80 ° 4 x + 17 x + 23 A 35 ° -3-

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U A

11 x + 2

5 x + 10 58 °

T (^) S 11

B W

18 x + 5

46 ° −1 + 8 x

C (^) D 4

C A^ Q

10 x − 10 12 x − 4

30 °

B 12

A D B

15 x + 5

120 ° 22 x + 4

C 3

D B V

9 x − 2 20 x + 5

40 °

C 3 Find the measure of the angle indicated.

  1. Find mS. J R

3 x + 4

140 ° 8 x + 4

S T 40 °

  1. Find mH. F D

14 x + 1

89 °^5 x^ − 7

G (^) H 38 °

  1. Find mFAB. C A F

13 x − 3

3 x + 2 55 °

B 75 °

  1. Find mYDC. D^ C Y (^) 15 x + 5

6 x + 6

80 °

B 140 ° -2-