Is this correct; the ha theorem is a special case of the aas theorem.

a. sss postulate
b. asa postulate
c. aas theorem
d. sas postulate

Option C is right

Step-by-step explanation:

Two triangles can be congruent either by SSS or AAS or ASA or SAS postulates.

AAS is the case where two angles and one corresponding side of a triangle are equal.

For two right angled triangles, we already have one angle congruent as right angle. If another angle is congruent and hypotenuse equal, then the two triangles are congruent.

This directly follows from AAS theorem or AAS postulate

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47