Question

In the given figure, measures of some angles are shown.
$Using \: the \: measures \: find \: the \: measures \: of \: angle \: x \: and \: angle \: y \: and \: hence \: show \: that \: line \: l \: || \: line \: m.$
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Answer 1

Step-by-step explanation:

In line l ,

angle 1 = 180° - 130° = 50°

( linear pair)

angle x = 130°

( vertically opposite angles property)

In line m,

angle 2 = 180°- 50° = 130°

( linear pair)

angle y = 130°

( vertically opposite angles property)