Question

The figure below shows two lines that intersect at point
𝐸
along with ray

𝐸
𝐹
→
. The angles are labeled 1 through 5.



Which of the following statements are true? Select TWO that apply.


A.
Angle 2 and angle 5 are complementary angles.


B.
Angle 4 and angle 5 are adjacent angles.


C.
Angle 2 and angle 3 are supplementary angles.


D.
Angle 1 and angle 4 are vertical angles.


E.
Angle 1 and angle 5 are supplementary angles

Answer 1

B and C

- B: Angle 4 and angle 5 are adjacent — they share vertex E and a common side and do not overlap.
- C: Angle 2 and angle 3 form a linear pair (their nonshared sides are opposite rays), so they are supplementary.

(The other choices are false: A assumes a right angle which is not given; D is false because 1 and 4 are not opposite/vertical; E is not a linear pair so not necessarily supplementary.)