If one angle of a parallelogram is 30° less than twice the measure of the smallest angle, then the measure of the largest angle of the parallelogram is:

Correct option is A

Given:

One angle of a parallelogram is 30° less than twice the measure of the smallest angle.

Concept Used:

Consecutive angles are supplementary (sum to 180°).

Solution:

Let the smallest angle be x

Then, the other angle is 2x - 30°.

In a parallelogram, consecutive angles add up to 180°.

Therefore:

x + (2x - 30°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

2x - 30° = 2(70°) - 30° = 140° - 30° = 110°