Question

1. Classify the pair of angles

a.) adjacent and supplementary
b.) adjacent and complementary
c.) vertical and supplementary
d.) vertical and supplementary

2. Classify the pair of angles
a.) adjacent
b.) complementary
c.) supplementary
d.) none of these

3. Classify the pair of angles
a.) complementary
b.) supplementary
c.) vertical angles
d.) none of these

4. Find the value of X in the figure
a.) 34.9 degrees
b.) 55.1 degrees
c.) 90 degrees
d.) 129.9 degrees

5. Find the value of X in the figure
a.) 8 degrees
b.) 18 degrees
c.) 72 degrees
d.) 108 degrees

Answer 1

Supplementary is when two angles together add up to 180°, and complimentary is when they add up to 90°.
The first angles together make 90°, so they are complimentary, and they are next to each other so they are adjacent, so it is B.
The second angles are 60°, and they ardent vertical so they are none of these. The third angles add up to 180° so they are supplementary, so it is D.
The fourth angles are a right angle, and you can see by the little square at the point. And right angles are always 90°, so all you have to do is 90-55.1, and that gives you 34.9, so x=34.9, so it is A.
The fifth angles together make a straight line, and a straight line is 180°, so 180-72=108, so x=108, so it is D.