The user @Hrishii is correct about the value of angle B.
Once you know all three angles, you can use the law of sines to find the missing sides.
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Let's use the law of sines to find side b
b/sin(B) = a/sin(A)
b/sin(22) = 1/sin(18)
b = sin(22)*1/sin(18)
b = 1.21225240111352
b = 1.21 rounding to two decimal places
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Repeat for side c
c/sin(C) = a/sin(A)
c/sin(140) = 1/sin(18)
c = sin(140)*1/sin(18)
c = 2.08010440004024
c = 2.08 rounding to two decimal places
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The fully solved triangle is
A = 18 degrees
B = 22 degrees
C = 140 degrees
a = 1
b = 1.21
c = 2.08
decimal values are approximate