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The question is in the photo :)

The question is in the photo :)-example-1
User Gulnaz
by
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1 Answer

7 votes

Answer:

∠ GJK = 22°

Explanation:

∠ HJI = ∠ JHG ( alternate angles ), then

7x - 16 = 5x + 8 ( subtract 5x from both sides )

2x - 16 = 8 ( add 16 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12 , so

∠ KJI = 7x - 16 = 7(12) - 16 = 84 - 16 = 68°

Then

∠ GJI = 90° ( vertex of a rectangle )

∠ GJK = 90° - 68° = 22°

User Noam Smadja
by
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