Answer:
x = [tex]130^{o}[/tex]
Step-by-step explanation:
The given figure is a trapezium which is a quadrilateral with four sides.
But,
Sum of angles in a quadrilateral = (n - 2) x 180
where n is the number of sides.
For a quadrilateral, n = 4. So that,
Sum of angles in a quadrilateral = (4 - 2) x 180
= 2 x 180
= [tex]360^{o}[/tex]
The sum of angles in a quadrilateral is [tex]360^{o}[/tex].
Thus,
[tex]158^{o}[/tex] + [tex]51^{o}[/tex] + [tex]x^{o}[/tex] + [tex]21^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] + [tex]230^{o}[/tex] = [tex]360^{o}[/tex]
[tex]x^{o}[/tex] = [tex]360^{o}[/tex] - [tex]230^{o}[/tex]
= [tex]130^{o}[/tex]
The value of x is [tex]130^{o}[/tex].
