Respuesta :

Answer:

[tex] \angle[/tex]Z = 1°

Step-by-step explanation:

Since the shape is a triangle it means that all it's interior angles sum to 180°

To find the missing angle sum up the known angles and subtract them from 180°

That's

[tex] \angle[/tex]X + [tex] \angle[/tex]Y + [tex] \angle[/tex] Z = 180°

89° + 90° + [tex] \angle[/tex]Z = 180°

[tex] \angle[/tex]Z = 180 - 179°

We have the final answer as

[tex] \angle[/tex]Z = 1°

Hope this helps you

Answer:

Step-by-step explanation:

Given angles

  • <x=89°
  • <y=90°

We know that in a triangle

  • Sum of angles=180°

[tex]\rm \mapsto \angle x + \angle y + \angle z = 180 \\ \rm \mapsto89 + 90 + \angle z = 180 \\ \rm \mapsto179 + \angle z = 180 \\ \rm \mapsto\angle z = 180 - 179 = 1[/tex]

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