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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.

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 A class=

Respuesta :

rongren79

Answer:

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°

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