doofus75
doofus75 doofus75
  • 11-11-2020
  • Mathematics
contestada

A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.

A star patterned quilt has a star with the angels shown What is the value of x Explain your answer class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 17-11-2020

Answer:

81°

Step-by-step explanation:

x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:

[tex] x + 24 = 105 [/tex]

Subtract 24 from both sides

[tex] x + 24 - 24 = 105 - 24 [/tex]

[tex] x = 81 [/tex]

Value of x = 81°

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