Answer:
See explanation
Step-by-step explanation:
Definition of parallelogram: Parallelogram is a quadrilateral with two pairs of parallel sides.
Definition of transversal (diagonal): A line that cuts across two or more (usually parallel) lines.
Definition of the same side interior angles: These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).
The same-side interior angles theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary
Statement Reason
1. ABCD is a parallelogram - Given
2. [tex]\overline{AB}\parallel \overline {CD}[/tex] - Definition of parallelogram
3. [tex]\overline{AD}[/tex] is a diagonal of [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] - Definition of diagonal
4. [tex]\angle A[/tex] and [tex]\angle D[/tex] are the same side interior angles - Definition of same-side interior angles
5. [tex]\angle A[/tex] is supplementary to [tex]\angle D[/tex] - Same-Side Interior Angles Theorem
