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Step-by-step explanation:
Solution :-
Method-1:-
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°
Method-2:-
x and 130° are corresponding angles which are equal
=> x = 130°
Therefore, x = 130°
and
130° and y are vertically opposite angles which are equal.
=> y = 130°
Therefore, y = 130°
Answer :-
The measure of x = 130°
The measure of y = 130°
Used formulae:-
→ 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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