Question
If ∆XYZ ~ ∆LMN, write the corresponding angles of the two triangles and also write the ratios of corresponding sides.
✓
Answer
∆XYZ ~ ∆LMN [Given]
∴ ∠X ≅ ∠L
∠Y ≅ ∠M >
∠Z ≅ ∠N [Corresponding angles of similar triangles]
$\frac{ XY }{ LM }=\frac{ YZ }{ MN }=\frac{ XZ }{ LN }$ [Corresponding sides of similar triangles]
∴ ∠X ≅ ∠L
∠Y ≅ ∠M >
∠Z ≅ ∠N [Corresponding angles of similar triangles]
$\frac{ XY }{ LM }=\frac{ YZ }{ MN }=\frac{ XZ }{ LN }$ [Corresponding sides of similar triangles]
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