1. The shape has 6 sides which makes it a hexagon meaning that all the angles have to add up to a total sum of 720 degrees.
(x+10)+100+140+120+155+98=720
(x+10)+613=720
x+10=107 (subtracted 613 from both sides)
x=97 (subtracted 10 from both sides)
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2. You have to find all of the missing angles inside of the polygon which I did and they all added up to 323 meaning the supplementary angle missing is 37.
(x-7)+37=180
x-7=143
x=136
Hope this helps! :D