Question

determine whether each statement can be assumed from the figure. explain. 9. ∠nqo and ∠oqp are complementary. 10. ∠srq and ∠qrp is a linear pair. 11. ∠mon and ∠mor are vertical angles.

Explanation:

Step1: Recall complementary - angles definition

Complementary angles add up to 90°. Without seeing the figure, we can't tell if ∠NQO and ∠OQP add up to 90°.

Step2: Recall linear - pair definition

A linear pair of angles are adjacent and their non - common sides form a straight line, so they add up to 180°. Without seeing the figure, we can't tell if ∠SRQ and ∠QRP are adjacent and form a straight line.

Step3: Recall vertical - angles definition

Vertical angles are formed by two intersecting lines and are opposite each other. Without seeing the figure, we can't tell if ∠MON and ∠MOR are formed by two intersecting lines and are opposite.

Answer:

1. Cannot be assumed without seeing the figure.
2. Cannot be assumed without seeing the figure.
3. Cannot be assumed without seeing the figure.