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Sergeeva-Olga [200]
2 years ago
8

Question 5 of 10

Mathematics
1 answer:
Dimas [21]2 years ago
4 0

Answer: A

Step-by-step explanation:

See attached image.

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There's a lot you don't know here. Are DE and GF parallel? Is B a right angle? You can't assume that it is. The safest way to proceed is to give x in terms of 58 and B. You might get an answer that gives you something like 32 but I don't think you can say that unless you are told somewhere that ABC is a right angle triangle with the right angle at B.

So what to do.

<BAC = 58o                               That's because <BAC = <IAK They vertically opposite.

<ABC + <BAC + <ACB = 180o       All triangles have 180o

<ACB = 180 - 58 - <ABC                Solve for an unknown angle of a triangle.

<ACB = 122 - <ABC

x = <ACB                                       Vertically opposite angles.

x = 122 - <ABC                             Answer  It's 32 if ABC is a right angle.  

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