Question

In the diagram below, ∠AXB and ∠CXB form a linear pair. Which statement must be true about the angles?
A. ∠AXB and ∠CXB are supplementary to each other.
B. ∠AXB and ∠CXB are supplementary to the same angle.
C. ∠AXB and ∠CXB are complementary to each other.
D. ∠AXB and ∠CXB are complementary to the same angle.

Answer 1

Do you know what supplementary and complementary angles are?

Answer 2

supplementary= 180 and complementary=90

Answer 3

Great.
Now look at your two angles.
Do their measures add up to 180 deg or to 90 deg?

Answer 4

180 deg

Answer 5

Right.
You have two angles whose measures add up to 180 degrees. That means the angles are supplementary to each other.

Answer 6

thank you :)

Answer 7

Answer is A.
You're welcome.

Answer 8

Suppose that angleABC and angleDEF are both supplementary to angleXYZ, and angleXYZ is a right angle. Name all of the remaining right angles.
A. Both angleABC and angleDEF are right angles.
B. Only angleABC is a right angle.
C. Only angleDEF is a right angle.
D. Neither angleABC nor angleDEF is a right angle.

Answer 9

Do you know that one ^ :(

Answer 10

Is there a figure?

Answer 11

no :(

Answer 12

No problem. I can make one. It's more fun this way.

Answer 13

Here is angleXYZ. We are told it is a right angle.

Answer 14

Now we have angles ABC and DEF also in the figure.