The angles formed a linear pair has a sum of 180
So it follows that :
[tex]\begin{gathered} \angle1+\angle2=180 \\ (5x-5)+(2x+10)=180 \\ 7x+5=180 \\ 7x=180-5 \\ 7x=175 \\ x=25 \end{gathered}[/tex]
Angle 1 is 5x - 5, subsitute x = 25
angle 1 will be :
5(25) - 5 = 120
angle 2 will be :
2x + 10
2(25) + 10
60
Answer :
x = 25
angle 1 = 120
angle 2 = 60
