89,488 views
17 votes
17 votes
In ΔWXY, m∠W = (2x - 12)°, m∠X = (2x +17)°, and m∠Y = (9x - 7)°. Find m∠X.​

User Gaspard Merten
by
3.0k points

1 Answer

16 votes
16 votes

Answer:

45°

Explanation:

Angles in a triangle add to 180 degrees, so

  • 2x - 12 + 2x + 17 + 9x - 7 = 180
  • 13x - 2 = 180
  • 13x = 182
  • x = 14

So, the measure of angle X is 2(14)+17=45°

User Anton Giertli
by
2.7k points