Respuesta :

Answer:

  • q = 14

Step-by-step explanation:

We know that:

  • 39 + (4q - 5) = 90°

Solution:

  • 34 + 4q = 90°
  • => 4q = 90 - 34
  • => 4q = 56
  • => q = 56/4
  • => q = 14

Hence, the value of q is 14.

Complementary angles have sum 90°

[tex]\\ \tt\hookrightarrow 39+4q-5=90[/tex]

[tex]\\ \tt\hookrightarrow 4q+34=90[/tex]

[tex]\\ \tt\hookrightarrow 4q=90-34[/tex]

[tex]\\ \tt\hookrightarrow 4q=56[/tex]

[tex]\\ \tt\hookrightarrow q=14[/tex]

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