Question

1. find the measure of an angle that is complementary to ∠vwh
2. name one pair of nonadjacent complementary angles
3. name two pairs of supplementary angles

exercises 16 - 18
sep 22 - 6:20 pm

1. find the measure of an angle that is supplementary to ∠egf.
2. name one pair of adjacent complementary angles.
3. name one pair of nonadjacent supplementary angles

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°.

Step2: Recall supplementary - angle definition

Supplementary angles add up to 180°.

Step3: Analyze non - adjacent and adjacent cases

Adjacent angles share a common side and a common vertex. Non - adjacent angles do not.

For question 16:

We need to find the measure of an angle complementary to ∠VWH. But we don't know the measure of ∠VWH from the given text clearly. Assuming we can read the angle measures from the diagram, if ∠VWH = 70° (from the hand - written note), then the complementary angle is 90°−70° = 20°.

For question 17:

An example of non - adjacent complementary angles from the diagram could be angles that add up to 90° and don't share a common side. If we assume some angle measures from the diagram, say one angle is 30° and another non - adjacent angle is 60°. But from the hand - written note, it seems to be ∠WLY and ∠LYR.

For question 18:

Supplementary angles add up to 180°. From the hand - written note, ∠VWU and ∠WUS could be a pair if their sum is 180° (assuming correct angle measures from the diagram), and ∠QYR and ∠QYW could be another pair.

For question 19:

We need to find the measure of an angle supplementary to ∠EGF. If ∠EGF = 85° (from the hand - written note), then the supplementary angle is 180°−85° = 95°.

For question 20:

Adjacent complementary angles share a common side and add up to 90°. From the hand - written note, ∠BCA and ∠ACD could be a pair if their sum is 90° (assuming correct angle measures from the diagram).

For question 21:

Non - adjacent supplementary angles do not share a common side and add up to 180°. From the hand - written note, ∠BCA and ∠EGF could be a pair if their sum is 180° (assuming correct angle measures from the diagram).

Answer:

1. 20° (assuming ∠VWH = 70°)
2. ∠WLY and ∠LYR
3. ∠VWU and ∠WUS, ∠QYR and ∠QYW
4. 95° (assuming ∠EGF = 85°)
5. ∠BCA and ∠ACD
6. ∠BCA and ∠EGF