Question

for 25-29 answer with the correct stateme
·corresponding ·alternate interior
·alternate exterior ·consecutive
25 ∠3 and ∠6
26 ∠4 and ∠6
27 ∠2 and ∠7
28 ∠1 and ∠5
29 ∠1 and ∠8
for 30 and 31 answer either with suppleme
or congruent.
30 ∠4 and ∠6
31 ∠1 and ∠8

Explanation:

Step1: Analyze ∠3 and ∠6 (Question 25)

Alternate Interior Angles: Lie between two lines, on opposite sides of transversal. ∠3 and ∠6 are between the two lines, opposite sides of transversal. So they are Alternate Interior.

Step2: Analyze ∠4 and ∠6 (Question 26)

Consecutive Angles (Consecutive Interior): Lie between two lines, same side of transversal. ∠4 and ∠6 are between lines, same side of transversal. So Consecutive (Interior).

Step3: Analyze ∠2 and ∠7 (Question 27)

Alternate Exterior Angles: Lie outside two lines, opposite sides of transversal. ∠2 (outside) and ∠7 (outside), opposite sides. So Alternate Exterior.

Step4: Analyze ∠1 and ∠5 (Question 28)

Corresponding Angles: Same position relative to lines and transversal. ∠1 and ∠5 are in same position (top-left of intersection). So Corresponding.

Step5: Analyze ∠1 and ∠8 (Question 29)

Alternate Exterior? No. Wait, ∠1 (top-left, outside) and ∠8 (bottom-right, outside), opposite sides? Wait, ∠1 and ∠8: ∠1 is top, ∠8 is bottom-right. Wait, maybe Alternate Exterior? Wait, no, let's check again. Wait, ∠1 and ∠8: ∠1 is at top intersection, left; ∠8 is at bottom intersection, right. So Alternate Exterior? Wait, maybe Corresponding? No. Wait, Alternate Exterior: outside, opposite sides. ∠1 (outside upper left) and ∠8 (outside lower right)? Wait, maybe I made a mistake. Wait, correct: ∠1 and ∠8 are Alternate Exterior? Wait, no, let's recall: Alternate Exterior angles are outside the two lines, on opposite sides of transversal. ∠1 is outside (above the top line), ∠8 is outside (below the bottom line), and on opposite sides of transversal. So Alternate Exterior.

Step6: Analyze ∠4 and ∠6 (Question 30)

Consecutive Interior? Wait, no, for supplement or congruent. ∠4 and ∠6: If lines are parallel, consecutive interior are supplementary. But the question says "supplement or congruent". ∠4 and ∠6: they are consecutive interior, so supplementary (sum to 180°). So Supplement.

Step7: Analyze ∠1 and ∠8 (Question 31)

Congruent? If lines are parallel, alternate exterior are congruent. ∠1 and ∠8 are Alternate Exterior, so if parallel, congruent. So Congruent.

Answer:

1. Alternate Interior
2. Consecutive (Interior)
3. Alternate Exterior
4. Corresponding
5. Alternate Exterior
6. Supplement
7. Congruent

(Note: For each question, the above is the respective angle relationship. If specific format needed, adjust, but based on analysis, these are the correct relationships.)