Question

select a value to tell how each pair of angles is related.

Two lines that intersect forming 4 angles. Starting from the top angle and moving clockwise, the angles are labeled 1, 2, 3, and 4.

Answer 1

Assuming the four angles are arranged clockwise: 1 (top), 2 (right), 3 (bottom), 4 (left):

- 1 and 3: vertical angles → congruent (equal measure).
- 2 and 4: vertical angles → congruent.
- 1 and 2: adjacent and form a linear pair → supplementary (sum to 180°).
- 2 and 3: adjacent and form a linear pair → supplementary.
- 3 and 4: adjacent and form a linear pair → supplementary.
- 4 and 1: adjacent and form a linear pair → supplementary.

(They are not complementary unless a specific measure, e.g. 90°, is given.)