In the given figure PQ is a transversal intersecting lines AB and CD. Find the measures of angles x and y. Hence prove AB//CD.
1 answer:
<u>Explanation</u><u>:</u>
From the given figure ,
AB || CD
PQ is a transversal
Given angles are 50° and 130°
50° and x are linear pair
⇛ 50°+x = 180°
⇛ x = 180°-50°
⇛ x = 130°
Therefore, "x" = 130°
and
130° and y are vertically opposite angles which are equal.
⇛ "y" = 130°
Therefore, y = 130°
<u>Additional</u><u> </u><u>comment</u><u>:</u><u>-</u>
- If two parallel lines Intersected by a transversal then
- Corresponding angles are equal.
- Vertically Opposite angles are equal.
- The sum of two adjacent angles is equal to 180° then they are called Linear Pair.
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