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Can someone help me with this ASAP

Can someone help me with this ASAP-example-1
User Lwin
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1 Answer

2 votes

9514 1404 393

Answer:

x = 45

Explanation:

If we assume that ray GJ lies between rays GF and GH, then the angle sum theorem tells us ...

∠FGH = ∠FGJ +∠JGH

140° = 95° +x°

45° = x° . . . . . . subtract 95° from both sides

x = 45

_____

Alternate solution

There is an alternate solution if ray GF lies between ray GH and ray GJ.

∠JGH = ∠FGJ +∠FGH

x° = 95° +140°

x° = 235°

x = 235

Without some additional information, we cannot tell which assumption we should make about the geometry.

User Jeffrey Aguilera
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4.0k points