Answer:
a) ∠CBF is also known as ∠FBC or B
b) The sides of ∠EBD are ray EB and ray BD
c) ∠ABC can be classified as a straight angle
d) An example of an obtuse angle is the angle DBE
e) Two congruent angles are ∠ABE and ∠CBF
f) A perpendicular bisector is the segment BD
Explanation:
a) An angle can be named by three capital letters, a number, or the letter of the vertex. With regard to the question, an alternative name is angle B
b) The sides of an angle are rays. The sides of the angle are ray EB and ray BD
c) A straight angle is an angle that forms a straight line and has a magnitude of 180°
d) An obtuse angle is one that is greater than 90° but less than 180°
e) Congruent angles are angles that are equal. In the question, ∠ABE and ∠CBF are vertically opposite angles, and are therefore congruent
f) A perpendicular bisector is a line segment that is perpendicular to a given line, and also divides the line in two. Therefore, the line segment BD, which is perpendicular to the line ABC and also divides the line ABC into two equal parts (segment BA and segment BC) is the perpendicular bisector of the line ABC.