Answer:
See explanation
Step-by-step explanation:
<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.
<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.
<u>Definition of the same side interior angles:</u> 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).
<u>The same-side interior angles theorem</u> 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. - Definition of parallelogram
3. is a diagonal of
and
- Definition of diagonal
4. and
are the same side interior angles - Definition of same-side interior angles
5. is supplementary to
- Same-Side Interior Angles Theorem