Question
In fig. the corresponding arms of $\angle \text{ABC}$ and $\angle \text{DEF}$ are parallel. $\angle \text{ABC}=75^\circ,$ find $\angle \text{DEF}.$ 
✓
Answer
Construction: Let $G$ be the point of intersection of lines $BC$ and $DE$.
$\because \text{AB}||\text{DE}$ and $\text{BC}||\text{EF}$
$\therefore \text{ABC}=\angle \text{DGC}=\angle \text{DEF}=75^\circ$ (Corresponding angles)
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