Respuesta :

Answer:

[tex]50^{\circ}[/tex]

Step-by-step explanation:

Complementary angles mean that the sum of the angles add up to [tex]90^{\circ}[/tex]. We can use algebra to solve for [tex]x[/tex] and then to determine [tex]m\angle QRS[/tex].

[tex]m\angle QRS + m\angle SRT = 90[/tex]

[tex]8x+10 + 8x = 90[/tex]

[tex]16x = 80[/tex]

[tex]x = 5[/tex]

[tex]m\angle QRS = 8x+10[/tex]

[tex]= 8(5)+10[/tex] (substitution)

[tex]=50^{\circ}[/tex]

∴ [tex]m\angle QRS = 50^{\circ}[/tex]

Hope this helps :)

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