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Here are words similar to complemental:
accordant, accused, actual thing, addressee, affirmative, agent, agnate, agreeable, agreeing, akin, algorismic, algorithmic, aligned, alike, aliquot, all one, all the same, ally, alter ego, alternate, alternative, amicable, anal, analogical, analogon, analogous, analogue, analogy, answerable, answering, approximate, approximating, approximative, associate, associated, at one, attuned, automatic, back-and-forth, backup, balance, balanced, ballast, battology, beating, bedizenment, bonus, bourgeois, brother, bush, bushing, carbon copy, cardinal, change, changeable, changeling, circling, city editor, close, close copy, close match, cloying, cloysome, coacting, coactive, coadjutant, coadjuvant, coefficient, coequal, coexistent, coexisting, coextending, coextensive, cognate, coherent, coincident, coincidental, coinciding, collaborative, collatable, collateral, collective, collectivist, collectivistic, collusive, columnist, combined, commensal, commensurable, commensurate, common, communal, communalist, communalistic, communicator, communist, communistic, communitarian, commutable, commutative, commutual, companion, comparable, comparative, comparison, compatible, compeer, compensatory, complement, complemental, complementary, completing, completive, completory, components, compulsive, concerted, concordant, concurrent, concurring, conformable, conformist, congenator, congener, congenial, congruent, congruous, conjoint, conniving, consentaneous, consentient, consideration, consistent, consonant, constant, consummative, consummatory, contents, continuous, conventional, convertible, cooperant, cooperating, cooperative, coordinate, copy, copy chief, copy editor, copyman, copyreader, correlate, correlative, correspondent, corresponding, coterminous, counterbalance, counterfeit, counterpart, counterpoise, counterweight, cub reporter, culminative, cyclic, dead ringer, decimal, decoration, defendant, deputy, diaskeuast, differential, digital, ditto, Doppelganger, double, doubling, doublure, dummy, duplicate, duplication, duplication of effort, each other, ecumenic, editor, editorial writer, embellishment, empathetic, empathic, en rapport, epochal, equable, equal, equalizing, equidistant, equilateral, equiparant, equipoise, equipollent, equispaced, equivalent, ersatz, eurythmic, even, every other, exact counterpart, exchange, exchanged, expletive, exponential, extra, extra added attraction, extra dash, extravagance, facing, facsimile, fake, fat, featherbedding, feature editor, fellow, figural, figurate, figurative, filigree, fill-in, filler, filling, fillip, finished, finite, flat, flourish, foreign correspondent, formalistic, fractional, frictionless, frill, frills, frippery, fulfilling, gazetteer, general, ghost, ghostwriter, gingerbread, give-and-take, harmonious, harmonized, homogeneous, homograph, homologous, homonym, homophone, idem, identic, identical, identical same, image, imaginary, imitation, immutable, impair, impossible, in accord, in agreement, in common, in concert, in keeping, in line, in rapport, in step, in sync, in synchronization, in tune, inaccordance, indistinguishable, infinite, inharmony, inlay, inlayer, innards, insole, integral, interchangeable, interchanged, interlineation, intermittent, interviewer, invariable, irrational, isochronal, jading, joint, journalist, kindred, kindred spirit, kosher, lagniappe, leader writer, leg man, letter writer, level, libelee, like, like-minded, likeness, lined up, liner, lining, locum tenens, logarithmic, logometric, luxury, macrology, makeshift, makeweight, managing editor, match, matchable, matching, mate, measured, mechanical, metaphor, methodic, metonymy, metronomic, mock, monolithic, much at one, much the same, mutual, near, near duplicate, needlessness, negative, news editor, newsman, newspaperman, newspaperwoman, newswriter, next best thing, no other, noncompetitive, nonconvergent, nondivergent, none other, numeral, numerary, numerative, numeric, obverse, odd, of a kind, of a piece, of a size, of like mind, of one mind, offset, on all fours, one another, opposite number, ordered, orderly, ordinal, ornament, ornamentation, orthodox, oscillatory, overadornment, overfilling, overlap, own correspondent, packing, padding, pair, paragrapher, paragraphist, parallel, parallelepipedal, parallelinervate, paralleling, parallelodrome, parallelogrammatic, parallelogrammic, parallelotropic, payroll padding, peaceful, pedantic, peer, pen pal, pendant, perfective, periodical, permutable, persistent, personnel, phony, pick, picture, pinch, pinch hitter, plastic, pleonasm, popular, positive, possible, precisianistic, premium, pressman, prime, prisoner, prolixity, proportionate, proportioned, provisional, proximate, proxy, public, publicist, pulsing, punitive, quid pro quo, radical, rational, reader, real, reciprocal, reciprocating, reciprocatist, reciprocative, reciprocator, recompensing, recompensive, reconcilable, recurrent, recurring, redundance, redundancy, regular, relatable, relative, relief, reparative, replacement, replica, reporter, representative, reserve, reserves, respondent, restitutive, retaliative, retaliatory, retributive, retributory, returnable, reviser, rewrite man, rewriter, rhythmic, ringer, rival, robotlike, rotary, satiating, sating, satisfying, seasonal, second self, second string, secondary, seesaw, self-consistent, selfsame, serial, setoff, shared, shoot, sign, similar, similitude, simulacrum, sine wave, sister, slotman, smooth, sob sister, social, socialistic, societal, something extra, something of value, soul mate, spare, spares, special correspondent, spit and image, spitting image, sports editor, square, stable, stammering, stand-in, standard, steadfast, steady, stopgap, straight, stringer, stuffing, stuffy, stuttering, sub, subeditor, submultiple, substituent, substitute, substitution, succedaneum, such, suchlike, superaddition, superfluity, superfluousness, superseder, supplanter, surd, surfeiting, surrogate, suspect, swapped, switched, symbiotic, symbol, symmetric, sympathetic, synchronized, synchronous, synecdoche, synergetic, synergic, synergistic, synonym, synonymous, systematic, tally, tantamount, tautologism, tautology, temporary, tentative, the like of, the likes of, the same, the same difference, third string, tit for tat, to-and-fro, together, token, traded, traditionalist, transcendental, transposed, trimming, twin, twist, unanimous, unbroken, unchangeable, unchanged, unchanging, uncompetitive, understanding, understudy, undeviating, undifferenced, undifferentiated, undiversified, undulant, undulatory, uniform, unisonant, unisonous, united, unnecessariness, unruffled, unvaried, unvarying, up-and-down, utility, utility player, verbosity, very image, very same, vicar, vicarious, vice-president, wadding, wainscot, war correspondent, warp, wavelike, weft, well-balanced, well-set, woof,