Answer:
The answer to your question is x = 19.1 y = 14.52
Explanation:
Process
1.- Use law of sines to find x
x / sin 71° = 18 / sin 63°
- Solve for x
x = 18 (sin 71) / sin 63
- Simplification
x = 18 ( 0.946)/0.891
x = 18(1.062)
- Result
x = 19.1
2.- Find the measure of the third angle
third angle = 180° - 63° - 71°
= 46°
- Use the law of sines to find y
y / sin 46 = 18 / sin 63
- Solve for y
y = 18 (sin 46) / sin 63
- Simplification
y = 18(0.719) / 0.891
y = 18(0.807)
- Result
y = 14.52