Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
Volume of a cube is Side to the third power ( S^3)
S = 3.2 meters
Volume = 3.2^3
Volume = 32.768 cubic meters (cm^3)
You may need to round the answer.. The problem doesn't say how many decimal places are needed.
This is a trick question. First just understand that any number over itself is 1 so

is just

so it is just
2
The equation would be 6x+5y=316. X represents the car travelers and the y represents the bus travelers