Since the polygons DEFG and SPQR are congruent
That means
DE = SP
EF = PQ
FG = QR
DG = SR
AND
mmmm
Since DE = x and SP = 3, then
x = 3
Since < S = 107 degrees and
In the polygon DEFG, the sum of the angles is 360 degrees, then
107 + (y + 3) + 83 + (y + 1) = 360
Add the like terms on the left side
(107 + 3 + 83 + 1) + (y + y) = 360
194 + 2y = 360
Subtract 194 from both sides
194 - 194 + 2y = 360 - 194
2y = 166
Divide both sides by 2
y = 83
The value of x is 3 and the value of y is 83
