The value of the angle m∠4 is 105 degrees.
How to find angles in a quadrilateral?
The sum of angles in a quadrilateral is 360 degrees.
Therefore,
m∠1 + m∠2 + m∠3 + m∠4 = 360°
Hence,
x + x + 10 + x + 20 + x + 30 = 360
4x + 60 = 360
4x = 360 - 60
4x = 300
x = 360 / 4
x = 75
Therefore,
m∠4 = 75 + 30 = 105°
learn more on quadrilaterals here: https://brainly.com/question/17178852
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