Final answer:
In King Lear, Lear offers a third of his kingdom to his daughters, Goneril and Regan.
Step-by-step explanation:
In the play King Lear by William Shakespeare, Lear offers a third of his kingdom to his daughters as a way to divide his power. He asks each of them to express their love for him, and the two older daughters, Goneril and Regan, flatter him with their declarations. However, the youngest daughter, Cordelia, refuses to participate in this competition and instead speaks honestly and plainly. As a result, Lear disowns her and divides his kingdom between Goneril and Regan, offering each of them a third.