Answer:
[tex]\boxed { x = -\frac{5}{2}}[/tex]
Step-by-step explanation:
To determine the value of [tex]x[/tex], write expression by using the following measurement from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex] and solve:
[tex]\angle 1 = 20 + 5x[/tex]
[tex]\angle 2 = x + 10[/tex]
[tex]20 + 5x = x + 10[/tex]
Solve for [tex]x[/tex]:
[tex]20 + 5x = x + 10[/tex]
[tex]20 + 5x - x = x - x + 10[/tex]
[tex]20 + 4x = 10[/tex]
[tex]20 - 20 + 4x = 10 - 20[/tex]
[tex]4x = -10[/tex]
[tex]\frac{4x}{4} = \frac{-10}{4}[/tex]
[tex]\boxed { x = -\frac{5}{2}}[/tex]
So, the value of [tex]x[/tex] is [tex]-\frac{5}{2}[/tex].
