Question

Using the figure below, ZFBD is 50%, which is

true regarding ZEBF?
09
C.
D.
A
A. ZEBF = 140°
B.
ZEBF = 90°
ZEBF = 50°
ZEBF = 40°
E
250°
B
F

Answer 1

D. ∠EBF = 40°

Explanation:

You want the measure of angle EBF in a diagram in which right angle EBD is split by ray BF to form angle FBD = 50°.

Angle addition postulate

The angle addition postulate tells you ...

∠EBD = ∠EBF +∠FBD

90° = ∠EBF +50° . . . . use the given values

40° = ∠EBF . . . . . . . subtract 50°

It must be true that ∠EBF = 40°.