please solve thz anyone
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THE VALUE OF x IS 5°
angle i=25°
angle z=25°
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Refer to the pic I've attached with the answer.
According to the picture :
/_3 = /_2 ( Vertically Opposite Angles )
Therefore, /_2 = /_3 = ( 6x - 5 )°
Now, we know that : /_1 = /_3 ( Corresponding Angles )
Therefore, we can easily say that : /_1 = /_3 = /_2 ( From the above discussion )
Now, we're given the values of angles as :
/_1 = 4x + 5°
/_2 = 6x - 5°
Put the values equal to each other and you will get the value of x :-
4x + 5 = 6x - 5
=》 5 + 5 = 6x - 4x
=》 10 = 2x
=》 x = 5°
/_1 = 25° ( 4 × 5 + 5 )
/_2 = 25° ( 6 × 5 - 5 )
These are the values of /_1 and /_2.
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