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Sagot :
Given :-
- Two parallel lines intersected by a transversal .
To Find :-
- The angle .
Solution :-
As we know that when two parallel lines is intersected by a transversal then the corresponding angles are equal . Here 15x - 5 and 14x +4 are corresponding angles . So ,
[tex]\red\longrightarrow[/tex] 15x - 5 = 14x + 4
[tex]\red\longrightarrow[/tex] 15x - 14x = 5+4
[tex]\red\longrightarrow[/tex] 15x - 14x = 9
[tex]\red\longrightarrow[/tex] x = 9
Hence the angle is ,
[tex]\red\longrightarrow[/tex] 14x + 4
[tex]\red\longrightarrow[/tex] 14(9) + 4
[tex]\red\longrightarrow[/tex] 126 + 4
[tex]\red\longrightarrow[/tex] 130°
Hence the required answer is 130° .
Explanation :
15x - 5 and 14x +4 are corresponding so we have to do it like,
↣ 15x - 5 = 14x + 4
↣ 15x - 14x = 5+4
↣15x - 14x = 9
↣ x = 9.
Hence the angle is ,
↣14x + 4
↣14(9) + 4
↣ 126 + 4
↣ 130°
Hence the required answer is 130° .
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