bionicartworx bionicartworx
  • 25-01-2019
  • Mathematics
contestada

A kite has angle measures of 7x, 65, 85, and 105. Find the value of x. What are the measures of the angles that are congruent?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 29-01-2019

Answer:

  • x = 15
  • 105

Step-by-step explanation:

A kite is a quadrilateral, so the sum of its angle measures is 360°.

  7x + 65 + 85 + 105 = 360

  7x = 105 . . . . . . . . . . . . . . . . . subtract 255. This answers the second part of the question: the missing angle is 105°, so is congruent to the 105° angle given.

  105/7 = x = 15 . . . . . . . . . . . . divide by the coefficient of x

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