SOLUTION: Δ​XYZ, measure of angle∠Y equals=78​, XY equals=9​, and XZ equals=13. What is measure of angle∠​Z?

Algebra ->  Triangles -> SOLUTION: Δ​XYZ, measure of angle∠Y equals=78​, XY equals=9​, and XZ equals=13. What is measure of angle∠​Z?      Log On


   

Question 1064464: Δ​XYZ, measure of angle∠Y equals=78​, XY equals=9​, and XZ equals=13. What is measure of angle∠​Z?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the law of sines,
sin%28Y%29%2FXZ=sin%28Z%29%2FXY
sin%2878%29%2F13=sin%28Z%29%2F9
sin%28Z%29=%289%2F13%29sin%2878%29
Use a calculator to solve for Z.