Respuesta :

Hrishii

Answer:

z = 54

Step-by-step explanation:

  • x° = 45° (vertical angles)

  • 5y° + 45° = 180° (Linear pair angles)

  • -> 5y° = 180° - 45°

  • -> 5y° = 135°

  • -> y° = 135°/5

  • -> y° = 27°

  • Next, find the measures of the angles of the triangle.

  • x° + 3y° + z° = 180° (By interior angle sum theorem of a triangle)

  • -> 45° + 3(27°) + z° = 180°

  • -> 45° + 81° + z° = 180°

  • ->126° + z° = 180°

  • -> z° = 180° - 126°

  • -> z° = 54°

  • -> z = 54

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