Question

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Answer 1

See below ↓↓

Explanation:

1. c║d

3. a║b

5. c║d

7. a║b

2. CACP

4. AICP

6. CACP

8. SSIASP

Answer 2

a) c ║ d CACP

b) a ║ b AICP

c) c ║ d CACP

d) a ║ b SSIASP

Explanation:

CACP - Corresponding Angles Congruent postulate

When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.

AICP - Alternate Angles Congruent postulate

When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .

SSIAS - Same Side Interior Angles Supplementary theorem

When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).

a) c ║ d CACP

The tranversal is line b

b) a ║ b AICP

The tranversal is line d

c) c ║ d CACP

The tranversal is line a

d) a ║ b SSIASP

The tranversal is line c