Answer:
The value of x= 12.
Step-by-step explanation:
Given two parallel lines b nd c are crossed by a transversal line 'a'.
[tex]y+ 115^{\circ}=180^{\circ}[/tex]
By linear sum property
[tex]y=180-115[/tex]
By subtraction property of equality
We get y= [tex]65^{\circ}[/tex]
By simplification
[tex]5x+5=65^{\circ}[/tex]
b and c are parallel lines and cut by transversal line a then alternate interior angles are equal.
[tex]5x=65-5[/tex]
By subtraction property of equality
5x=60
[tex]x=\frac{60}{5}[/tex]
By division property
x=12
Hence, the value of xis 12.
