Respuesta :

[tex] \mathfrak{Solution : }[/tex]

The sum of two complementary angles is 90° , so

  • (5x + 7)° + (8x - 21)° = 90°

  • 5x + 8x + 7° - 21° = 90°

  • 13x - 14 = 90°

  • 13x = 90° + 14°

  • 13x = 104°

  • x = 104° ÷ 13

  • x = 8°

1st angle :

  • (5x + 7)°

  • ((5×8) + 7)°

  • (40 + 7)°

  • 47°

2nd angle :

  • (8x - 21)°

  • ((8×8) - 21)°

  • (64 - 21)°

  • 43°