Answer:
In summary, since opposite angles in quadrilateral DAMO are not congruent, it cannot be a parallelogram.
Explanation:
To determine whether quadrilateral DAMO is a parallelogram, we need to check if it satisfies any of the parallelogram properties. One of these properties states that opposite angles in a parallelogram are congruent.
Given that angle A measures 105 degrees and angle D measures 75 degrees, we can conclude that angle O and angle M must also measure 105 degrees each, since the sum of the interior angles of a quadrilateral is 360 degrees.
However, since angle O measures 75 degrees instead of 105 degrees, it means that opposite angles in quadrilateral DAMO are not congruent. Therefore, quadrilateral DAMO is not a parallelogram.
In summary, since opposite angles in quadrilateral DAMO are not congruent, it cannot be a parallelogram.