Answer:
x = 21°
The angles of the quadrilateral are:
Step-by-step explaination:
The above figure is a quadrilateral.
Hence, the angle sum of the shape is 360°.
Therefore,
[tex]85 + (x + 37) +69 + (6x + 22) = 360[/tex]
[tex]85 + x + 37 + 69 + 6x + 22 = 360[/tex]
[tex](85 + 37 + 69 + 22) + (x + 6x) = 360[/tex]
[tex]213 + 7x = 360[/tex]
[tex]7x = 360 - 213[/tex]
[tex]7x = 147[/tex]
[tex]x = \frac{147}{7} [/tex]
[tex]x = 21[/tex]
