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This pentagon can be split into three triangles, so the total for this pentagon is 540°. Add up all angles to equal 540°.

x= unknown angle

90° + 107° + 144° + 138° + x= 540°
479 + x= 540
subtract 479 from both sides
x= 61

CHECK:
90 + 107 + 144 + 138 + 61= 540
540= 540

ANSWER: x= 61°

Hope this helps! :)
Add all the angles

x=61 degrees