Question

Drag and drop the angle pairs to correctly match their description.

Answer 1

The angle pairs should be matched correctly to their description as follows;

Vertical angles ↔ ∠XAW and ∠UAY

Adjacent angle that are

neither complementary ↔ ∠XAZ and ∠ZAY

nor supplementary

Supplementary angles ↔ ∠XAW and ∠WAU

Complementary angles ↔ ∠XAW and ∠XAZ

In Mathematics and Euclidean Geometry, the vertical angles theorem states that two opposite vertical angles that are formed whenever two lines intersect each other are always congruent, which means being equal to each other;

∠XAW ≅ ∠UAY

Adjacent angles are two angles that share a common vertex and a common side. This ultimately implies that, ∠XAZ and ∠ZAY represent adjacent angles that are neither complementary nor supplementary.

A supplementary angle refers to two angles or arc whose sum is equal to 180 degrees (180°);

∠XAW + ∠WAU = 180°.

A complementary angle refers to two angles or arc whose sum is equal to 90 degrees (90°);

∠XAW + ∠XAZ = 90°.

Answer 2

Explanation:

1). Vertical angles ∠XAW and ∠UAY

2). Adjacent angle that are

neither complementary ∠XAZ and ∠ZAY

nor supplementary

3). Supplementary angles ∠XAW and ∠WAU

4). Complementary angles ∠XAW and ∠XAZ

This is the correct match of description and the angls pairs given in this question.