Maths-
General
Easy
Question
"If m ∠ B= m ∠ D , then
- Lines l and m are perpendicular
- Lines l and m are parallel
- Lines l and m are skew
- Lines l and m are not coplanar"
The correct answer is: Lines l and m are parallel
"Hint:-
1. Parallel lines- 2 co-planar lines that are equidistant from each other are called Parallel lines. Parallel lines never intersect each other.
2. Transversal- A line that crosses 2 co-planar lines at 2 distinct points is called a transversal.
3. Corresponding angles- angles formed on the same side of the transversal either above or below the 2 parallel lines are called corresponding angles.
4. When 2 parallel lines are intersected by a transversal, the corresponding angles formed on such parallel lines are equal."
"Step-by-step solution:-
We are given that ∠B = ∠D.
From the given diagram, we can observe that ∠B and ∠D are corresponding angles as they are on the same side of the transversal (right side) and above lines l and m.
We know that corresponding angles formed between 2 parallel lines, when intersected by a transversal are equal.
Hence, lines l and line m are parallel to each other."
"Final Answer:-
∴ Option b i.e. Lines l and m are parallel is the correct option."
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