Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
We know that, the sum of all exterior angles of a quadrilateral is always 360 degrees.
The below figure represents the four exterior angles of the quadrilateral. So,
[tex]65^\circ+106^\circ+78^\circ+x^\circ=360^\circ[/tex]
[tex]249^\circ+x^\circ=360^\circ[/tex]
[tex]x^\circ=360^\circ -249^\circ[/tex]
[tex]x^\circ=111^\circ[/tex]
Therefore, the measure of x is [tex]111^\circ[/tex].
