Question

Complementary and Supplementary 88 POINTS+BRAINLIEST

Answer 1

Answer:

Supplementary : C, A

complimentary : F, D

rest is neither

Step-by-step explanation:

supp. angles add up to 180

comp. angles add up to 90

Answer 2

Answer:

- Complementary: D, F

- Supplementary: A, C

- Neither: B, E

Step-by-step explanation:

A: We see angles 1 and 2 are both on the line - they make up the line. A line is 180 degrees, so we know that ∠1 + ∠2 = 180°. By definition of supplementary angles (angles that add up to 180), ∠1 and ∠2 are supplementary.

B: Let's add up 64.5 to 26.5:

64.5 + 26.5 = 91

Since ∠1 and ∠2 don't add up to 90, by definition of complementary angles (angles that add up to 90), then ∠1 and ∠2 are not complementary. So B is neither.

C: Here, ∠2 and ∠3 lie on a line, whose degree measure is always 180 degrees. Thus, these are supplementary.

D: The little square that makes up angles 2 and 3 indicates a 90-degree angle. That means ∠2 + ∠3 = 90, so they're complementary.

E: If we add these two angles together, we get: 132 + 38 = 170°. Clearly, this is not 90 or 180, so this is neither.

F: Angles 1, 2, and 3 all lie on a line, which means that they add up to 180. We also see that ∠2 = 90. So we have:

∠1 + ∠2 + ∠3 = 180

∠1 + 90 + ∠3 = 180

∠1 + ∠3 = 180 - 90 = 90

Thus, angles 1 and 3 are complementary.

The answer is:

- Complementary: D, F

- Supplementary: A, C

- Neither: B, E