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Lines And Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles4 Marks
Question
In figure, if l ∥ m ∥ n and $\angle{1}=60^\circ,$ Find $\angle{2}.$
✓

Answer

Since l parallel to m and p is the transversal Therefore, Given: l ∥ m ∥ n$\angle{1}=60^\circ$
To find: $\angle{2}$$\angle{1}=\angle{3}=60^\circ$ [Corresponding angles]
Now,$\angle{3}$ and $\angle{4}$ are linear pair of angles
$\angle{3}+\angle{4}=180^\circ$
$60+\angle{4}=180^\circ$
$\angle{4}=180-60$
$\Rightarrow\ 120$
Also, m || n and P is the transversal Therefore,$\angle{4}=\angle{2}=120$ [Alternative interior angle]
Hence $2\angle{2}=120.$

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