Respuesta :
Answer:
[tex]\boxed {\angle 2 = 127\textdegree}[/tex]
Step-by-step explanation:
First, you need to write an expression by using the following measurements from both [tex]\angle 1[/tex] and [tex]\angle 2[/tex], and solve for [tex]x[/tex]:
[tex]\angle 1 = 5x + 12[/tex]
[tex]\angle 2 = 6x - 11[/tex]
[tex]5x + 12 = 6x - 11[/tex]
Solve for [tex]x[/tex]:
[tex]5x + 12 = 6x - 11[/tex]
[tex]5x + 12 - 6x = 6x - 6x - 11[/tex]
[tex]-x + 12 = -11[/tex]
[tex]-x + 12 - 12 = -11 - 12[/tex]
[tex]-x = -23[/tex]
[tex]\frac{-x}{-1} = \frac{-23}{-1}[/tex]
[tex]x = 23[/tex]
After you have the value of [tex]x[/tex], use the value of [tex]x[/tex] and the expression from [tex]\angle 2[/tex] to get the actual measurement of [tex]\angle 2[/tex]:
-The value of [tex]x[/tex]:
[tex]x = 23[/tex]
[tex]\angle 2 = 6x - 11[/tex]
Solve for [tex]\angle 2[/tex]:
[tex]6x - 11[/tex]
[tex]6(23) - 11[/tex]
[tex]138 - 11[/tex]
[tex]127[/tex]
The measurement of [tex]\angle 2[/tex]:
[tex]\boxed {\angle 2 = 127\textdegree}[/tex]
