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which angles are corresponding angles with angle 8? \\(\\angle 4\\) and…

Question

which angles are corresponding angles with angle 8?

\\(\angle 4\\) and \\(\angle 12\\)
\\(\angle 2\\) and \\(\angle 10\\)
\\(\angle 6\\) and \\(\angle 14\\)
\\(\angle 3\\) and \\(\angle 9\\)

Explanation:

Identify the position of angle 8

$$ \text{Angle } 8 \text{ is in the bottom-left position at the intersection of line } s \text{ and line } t. $$

Find corresponding angles along transversal line t

$$ LATEXBLOCK0 $$

Find corresponding angles along transversal line s

$$ LATEXBLOCK1 $$

Answer:

  • (A) \(\angle 4\) and \(\angle 12\) (Correct answer)
  • (B) \(\angle 2\) and \(\angle 10\)
  • (C) \(\angle 6\) and \(\angle 14\)
  • (D) \(\angle 3\) and \(\angle 9\)