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Solution:
The given figure is a quadrilateral.
The sum of all the interior angles of the quadrilateral is 360.
Therefore,
(5x)° + 110° + 110° + 70° = 360°
(5x)° + 220° + 70° = 360°
(5x)° + 290° = 360°
(5x)° = 360° - 290°
(5x)° = 70°
x = 70°/5
x = 14°
Summary:
The value of x in the given quadrilateral is 14°