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Lines And Angles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles3 Marks
Question
In figure if l || m, n∥p and $\angle\text{1}=85^\circ,$ find $\angle{2}.$
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Answer

Corresponding angles are equal$\Rightarrow\ \angle{1}=\angle{3}=85^\circ$
By using the property of co-interior angles are supplementary$\angle{2}+\angle{3}=180^\circ$
$\angle{2}+55=180^\circ$
$\angle{2}=180-85$
$\angle{2}=95^\circ$

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