C. When two lines intersect, the angles that lie on opposite sides of
the intersection point are called
vertical angles. For example, in
the diagram at the right, AED and
CEB are vertical angles. Name
another pair of vertical angles.
A
230
.19
E
DEB and AEC
9
B
d. Using the diagram at the right,
determine the measure of AEC,
DEB, and CEB if x = 23°. Show
all your work.

AEC=BED=157°

Step-by-step explanation:

AEC + CEB + BED + x = 360°

since CEB and x are vertical angles, they are equal.

Also, AEC = BED (same reason)

therefore,

2AEC+ 23° + 23° = 360°

2AEC + 46° = 360°

2AEC = 360° - 46°

2AEC = 314°

AEC = 157°

BED also = 157°

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue

the answer

b. they are parallel and will never intersect.