caticorn2308 caticorn2308
  • 18-09-2021
  • Mathematics
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PLZ HELP!! I dont understand this problem!


Find the value of x in each case.

PLZ HELP I dont understand this problem Find the value of x in each case class=

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MrPOOH
MrPOOH MrPOOH
  • 18-09-2021

Given,

angle BAD = 2x

angle ADC = 79°

angle BCD = 32°

angle ABC = 5x

To Find,

The value of x.

Solution,

complex angle ABC = 360° - 5x

We know that the sum of all the angles of a quadrilateral is 360°.

By summing up all the given angles of the quadrilateral, we obtain

2x + 360° - 5x + 32° + 79° = 360°

or, -3x + 471° = 360°

or, -3x = 360° - 471°

or, -3x = -111°

or, x = -111°/-3

or, x = 37°

Answer,

The value of x is 37° .

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