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Find the angle measure. It is not asking for X

Find the angle measure. It is not asking for X-example-1
User SeanT
by
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1 Answer

6 votes

Answer: 131 degrees

Work Shown:

(angle JIW) + (angle WIH) = angle JIH

(2x+8) + (101) = 11x + 10

2x+109 = 11x+10

2x-11x = 10-109

-9x = -99

x = -99/(-9)

x = 11

So,

  • angle JIW = 2x+8 = 2*11+8 = 22+8 = 30 degrees
  • angle WIH = 101 degrees
  • angle JIH = 11x+10 = 11*11+10 = 121+10 = 131 degrees

The smaller angles add to 30+101 = 131 to confirm we have the correct answer.

For more information, check out the angle addition postulate.

User Braza
by
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