Answer:
1. m∠1 = 48°
2. m∠1 = 129°
3. m∠1 = 37°
4. m∠1 = 88°
m∠2 = 42°
m∠3 = 113°
5. m∠1 = 72°
m∠2 = 35°
m∠3 = 24°
6. m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 133°
m∠5 = 81°
7. m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 49°
m∠7 = 106°
8. x = 12°
9. x = 9°
10. x = 5°
11. x = 7°.
Step-by-step explanation:
1. 76° + 56° + m∠1 = 180°
∴ m∠1 = 180° - (76° + 56°) = 48°
m∠1 = 48°
2. m∠1 = 67° + 62° = 129°
m∠1 = 129°
3. m∠1 = 152° - 115° = 37°
m∠1 = 37°
4. m∠1 = 180° - (52° + 42°) = 88°
m∠1 = 88°
m∠2 = 42°
m∠3 = 180 - (42° + 25°) = 113°
m∠3 = 113°
5. m∠1 = 180° - 118° = 72°
m∠1 = 72°
m∠2 = 180° - 72° - 73° = 35°
m∠2 = 35°
m∠3 = 73° - 49° = 24°
m∠3 = 24°
6. m∠5 = 180° - m∠52° - m∠47° = 81°
m∠5 = 81°
m∠1 = 81° + 47° = 128°
m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 180° - 47° = 133°
m∠4 = 133°
7. m∠3 = 95°
m∠5 = 180° - 144° = 36°
m∠5 = 36°
m∠6 = 180° - 95° - 36° = 49°
m∠6 = 49°
m∠4 = 180° - 95° = 85°
m∠4 = 85°
m∠2 = 85°
m∠7 = 360° - (38° + 85° + (180° - 49°)) = 106°
m∠7 = 106°
m∠1 = 360° - (85° + 90° + 144°) = 41°
m∠1 = 41°
8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 16·x° - 12° = 180°
16·x = 180°+ 12° = 192°
x° = 192°/16 = 12°
x = 12°
9. (3·x - 5)° + (7·x + 5)° + 90 = 180°
10·x + 90° = 180°
10·x = 180°- 90° = 90°
10·x = 90°
x = 90°/10 = 9°
x = 9°
10. 180 - 151 = 29°
(11·x - 1)° + (20·x - 3)° + 29° = 180°
31·x° + 25° = 180°
31·x° = 180° - 25° = 155°
31·x° = 155°
x = 155/31 = 5°
x = 5°
12. (4·x + 13) + (6·x + 2) + 180 - (14·x - 13)
208° - 4·x° = 180°
208° - 180° = 4·x°
28° = 4·x°
4·x° = 28°
x = 28°/4 = 7°
x = 7°.
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Apache/2.4.41 (Ubuntu) Server at novedades.bodytech.com.co Port 443Transcribed Image Text:Name: Unit 4: Congruent Triangles Date: Per: Homework 2: Angles of Triangles ** This is a 2-page document! ** Directions: Find all missing angles. 1. 2. 3. 62° 1. 67° 152° 115 = [7W 5. = [7W %D %3D 4. = 17W 50 .3 2 25° 2) 42° = 17W = [7u 3 m22% = 118 1 73 m22 = %3D mZ3 = mZ3 = %3D 6. 7. 4. 3. 144 5 6. 3. = [7W m22 = 4. 95° %D 2 %3D = [7l m23 = 47° m22 = 1 5 %3D m24 = 38 %3D 52 m23 = m25 = %3D %3D m24 = %3D = 97 m25 = %3D = L7W Directions: Find the value of x. 9. 8. (3x- 5)° (3x- 2)° (10x - 11)° (3x + 1)° (7x +5)° 11. 10. (11x- 1)° (14x-13) (20x-3)° 151° (4x + 13)° (6x + 2)° O Gina Wilson (All Things Algebra®, LLC), 2014-2020
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