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using the sss, sas, asa, aas, hl postulates

step-by-step explanation:

a. by asa, since the sides are equal, the angles opposite to them are also equal. and another pair of angles are also given equal. so two pairs of angles and the side included are equal. so we can prove the congruent.

b. by either sss or rhs. they can be used only if the angle is given as 90. sas we can prove the sides are equal, cause the bases and hypotenueses are equal. thus using pythagoras.

c. by sss, since two pairs of angles are given congruent and the other sides are common.

d. by aaa, all the three angles are given equal. thus we can prove them congruent by the aaa congruence criteria.