Respuesta :

One angle be x

  • other is 2x-6

ATQ

[tex]\\ \sf\longmapsto x+2x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x-6=90[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

[tex]\\ \sf\longmapsto 2x-6=2(32)-6=58°[/tex]

Answer:

58°

Step-by-step explanation:

The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°

x + 2x - 6° = 90°

3x = 90° + 6°

3x = 96°

x = 96° : 3

x = 32°

Substitution :

2x - 6°

= 2 × 32° - 6°

= 64° - 6°

= 58°