Question

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

Explanation:

Step1: Recall quadrilateral angle - sum property

The sum of interior angles of a quadrilateral is $(4 - 2)\times180^{\circ}=360^{\circ}$. Let's check the sum of the given angles: $78^{\circ}+102^{\circ}+73^{\circ}+107^{\circ}=(78 + 102)+(73 + 107)=180^{\circ}+180^{\circ}=360^{\circ}$.

Step2: Analyze side - length and angle relationships

We note that opposite angles are supplementary ($78^{\circ}+102^{\circ}=180^{\circ}$ and $73^{\circ}+107^{\circ}=180^{\circ}$). In a quadrilateral, if opposite angles are supplementary, it is a cyclic quadrilateral. Also, no two - adjacent sides are equal and no two - opposite sides are parallel (no information about parallelism is given from the side - lengths and angles in a way that would suggest a parallelogram, rectangle, etc.).

Answer:

cyclic quadrilateral