Given parallelogram "GRAM", prove ∠A and ∠R are supplementary.

Question

Fill in the blanks to complete the proof.

Statements:
Statement 1: ABCD is a parallelogram.
Statement 2: Blank/
Statement 3: Blank are supplementary.

Reasons:
Reason A: Given.
Reason B: Definition of a parallelogram.
Reason C: Consecutive Interior Angles Theorem.

Answers:
A: ∠A and ∠R
B: GR || MA
C: ∠G and ∠A
D: GM || MA
E: GR || RA
F: ∠M and ∠R
What answers fill in which blanks?

Answer 1

To prove that ∠A and ∠R are supplementary in the parallelogram "GRAM," we need to choose the correct statements and reasons to fill in the blanks.

The correct fillings would be:

• Statement 2: GR || MA (B)
• Statement 3: ∠A and ∠R are supplementary (A)

Putting it all together, the proof would look like this:

Statements:

1. ABCD is a parallelogram.
2. GR || MA. (B)
3. ∠A and ∠R are supplementary. (A)

Reasons: A. Given. B. Definition of a parallelogram. C. Consecutive Interior Angles Theorem.

Thus the answers to fill in the blanks are:

• For Statement 2: B (GR || MA)
• For Statement 3: A (∠A and ∠R are supplementary)