emclark041
Answered

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9. Find the value of x

9 Find The Value Of X class=

Sagot :

jcherry99

Answer:

13 = x

Step-by-step explanation:

Remark

The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.

You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360

A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360

Givens

Angles

  • 3x+ 6,
  • 7x - 11,
  • 62,
  • 4x + 7 ,
  • 6x-5,
  • 41

The Total is 360 degrees

Solution

3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360    Combine like terms

20x + 100 = 360                  Subtract 100 from both sides

20x = 360 - 100

20x = 260

x = 13

Check

  • 3x + 6  = 45
  • 7x - 11  =  80
  •                62
  • 4x + 7 =   59
  • 6x - 5 =    73
  •                41  
  • Total      360
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