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5 votes
5 votes
10. m/FGH = -6 +26x, m/FGW = 3x + 5,

and m/WGH = 150°. Find x.
F
G
H
W
X = ?

10. m/FGH = -6 +26x, m/FGW = 3x + 5, and m/WGH = 150°. Find x. F G H W X = ?-example-1
User Diego Avila
by
2.8k points

1 Answer

22 votes
22 votes

Answer:

x = 7°

Explanation:

Hello!

The sum of Angle FGW and Angle WGH is equal to Angle FGH.

Given the values provided, this means that: 3x + 5 + 150 = -6 + 26x

Solve for x

  • 3x + 5 + 150 = -6 + 26x
  • 3x + 155 = -6 + 26x
  • 155 = - 6 + 23x
  • 161 = 23x
  • 7 = x

The value of x is 7°.

User BordiArt
by
2.8k points
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