Answer:
The answer to your question is x = 1.85; y° = 67.6°
Step-by-step explanation:
Law of cosines
c² = a² + b² - 2abcos C
Process
1.- Find x
x² = 5² + 4² - 2(5)(4)cos 20
- Simplification
x² = 25 + 16 - 40(0.939)
x² = 41 - 37.56
x² = 3.44
x = 1.85
2.- Find y°
Solve law of cosines for cos y°
cos y = (5² - 4² - 1.85²) / -2(4)(1.85)
-Simplification
cos y = (25 - 16 - 3.42) / -14.8
cos y = 5.58 / -14.8
cosy = -0.377
y = 112.1 °
- Solve using law of sines
sin 20 / 1.85 = sin y / 5
sin y = 5sin 20 / 1.85
siny = 0.9243
y = 67.6°
Both angles (112.1 and 67.6°) are supplementary. But I think the right answer is 67.6°
