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

Question

Philoid · Accepted Answer

As per the question,

Let the smallest angle be x° and the largest angle be (2x – 24)°

Since, the sum of adjacent angles of a parallelogram is 180°

∴ x + (2x – 24) = 180°

3x – 24 = 180°

x = 68°

Hence, the largest angle is: 2x – 24 = 2(68) – 24 = 136 – 24 = 112

∴Option A is correct