Respuesta :

Answer:

The answer to your question is     x = 19.1    y = 14.52  

Step-by-step 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