If one angle of a parallelogram is 24° less than twice the smallest angle, then the largest angle of the parallelogram is:

If one angle of a parallelogram is 24° less than twice the smallest angle, then the largest angle of the parallelogram is:
Answer: 112°

Let the smallest angle be (x). Then, another angle is (2x - 24). In a parallelogram, opposite angles are equal, and adjacent angles sum to 180°. So, (x + (2x - 24) = 180 \implies 3x - 24 = 180 \implies 3x = 204 \implies x = 68). The other angle is (2 \cdot 68 - 24 = 112). The largest angle is 112°. Studying this highlights geometric properties, providing lessons on angle calculations in shapes.