Answer:
1. False
2. True
3. False
4. True
5. False
6. True
So you got 1, 2, and 5 wrong
Here's how:
1. A linear pair means that both of the angles are adjacent and add up to 180°. However in this case, m∠d and m∠b are vertical angles (meaning they are non-adjacent), so they are both 40°, but it's because they are vertical angles.
2. m∠a and m∠b are a linear pair, so they are supplementary angles. m∠a is equal to 140°, because it is supplementary to m∠b, which is 40°, since it's equal to m∠d, and they are both vertical angles.
5. Vertical angles do not mean that the two angles are supplementary. It means that they are congruent angles. In this case, m∠b and m∠d are both 40°. If you add them up, you get 80°, which is less than 180°, meaning the statement is false.