Respuesta :
Value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
What are vertical opposite angles?
" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."
According to the question,
Given measure of angles,
[tex]m \angle1 = (3x + 21)\°[/tex]
[tex]m \angle3= (4x + 9)\°[/tex]
Consider both the angles as vertically opposite angles we get,
[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]
Hence, value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
Learn more about vertical opposite angles here
https://brainly.com/question/18045519
#SPJ2
