Question

answer attempt 1 out of 2 the quadrilateral is most specifically a , because

Explanation:

Step1: Recall angle - sum property of quadrilateral

The sum of interior angles of a quadrilateral is $(4 - 2)\times180^{\circ}=360^{\circ}$. Here, $78^{\circ}+102^{\circ}+73^{\circ}+107^{\circ}=360^{\circ}$.

Step2: Analyze side - length and angle relationships

The sides have different lengths ($17,18,19,28$), and no two - adjacent angles are equal in a way that would suggest a special parallelogram. But, we note that $78^{\circ}+102^{\circ}=180^{\circ}$ and $73^{\circ}+107^{\circ}=180^{\circ}$. When two pairs of consecutive angles of a quadrilateral are supplementary, the quadrilateral is a trapezoid.

Answer:

Trapezoid, because two pairs of consecutive angles are supplementary.