Given that lines L and M are parallel, which of the statements is true? A) ∠ DEF ≅ ∠ EBC B) ∠ ABC ≅ ∠ DEF Eliminate C) ∠ ABC ≅ ∠ EBC D) ∠ BEF ≅ ∠ ABC

Question

Mathematics

Jazlene Blankenship

31 May, 11:24

Given that lines L and M are parallel, which of the statements is true? A) ∠ DEF ≅ ∠ EBC B) ∠ ABC ≅ ∠ DEF Eliminate C) ∠ ABC ≅ ∠ EBC D) ∠ BEF ≅ ∠ ABC

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Answers (1)

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Valeria Spencer · Answer 1

Option B) ∠ ABC ≅ ∠ DEF

Step-by-step explanation:

Parallel lines that are divided by a transverse lines exhibit interesting properties. A transverse line is a line that combines two parallel lines to give equal angles on the top of the line. These angles are known as corresponding angles. In addition, the angles are known as Z angles as they form a shape of a Z. In addiction, the angles can also be vertically opposite angles. The are angles that are opposite each other. However, these angles are equal in magnitude. Thus, the angles ∠ ABC and ∠ DEF are equal in magnitude.