The value of x = 6.
From the information provided, we can determine the following:
Angle 1 and Angle 2 are alternate interior angles. This means they are equal because l || m and n is a transversal.
Therefore, (5x+25)° = (15x-35)°
Solving for x:
Subtract 5x from both sides:
5x + 25° - 5x = 15x - 35° - 5x
Combine like terms:
25° = 10x - 35°
Add 35° to both sides:
25° + 35° = 10x - 35° + 35°
Combine like terms:
60° = 10x
Divide both sides by 10:
60° / 10 = 10x / 10
Therefore, x = 6.
Complete question:
In the given figure l||m and n is a transversal. If angle 1= (5x+25)° and angle 2= (15x-35)° , then find the value of x.