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