Question

Find the values of \(x\) in each of the following figures if \(l||m\).

Answer 1

(i) Given, \(l || m\) and \(t\) is transversal line.
∴ Interior vertically opposite angle between lines \(l\) and \(t\) = \(110\degree\)
∴ \(110\degree + x = 180\degree\) [Supplementary angles]

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(ii) Given, \(l || m\) and \(t\) is transversal line.
\(x+2x = 180\) [Interior opposite angles]
\(\Rightarrow 3x = 180\degree \Rightarrow x = \frac{180\degree}{3}=60\degree\)

Read more: Pairs of Angles