Question

Examine the intersection of these lines:
Which of the following other pairs of angles are
complementary? Select all that apply.
O ZA and ZC
B
O ZB and ZF
A
С
OZC and ZD
F
D
ZF and ZE
E
ZD and ZF
ZB and ZC are complementary angles,
ZE and ZF are complementary angles,

Answer 1

Answer:

∠B and ∠F

∠F and ∠E . . . already listed in the problem statement, so may not be considered an "other pair"

Step-by-step explanation:

∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.

Likewise, ∠B and ∠E are vertical angles and congruent. Any angle complementary to one of them will also be complementary to the other. Here, ∠E and ∠F are listed as complementary, so we know ∠B and ∠F will be also.