Answer:
D. <AED and <BEC are adjacent angles.
(This choice is FALSE)
Step-by-step explanation:
Since Angle AED is 120° then Angle BEC is also 120°.
There are 360° in a circle.
120 + 120 + x + x = 360
240 + 2x = 360
2x = 360 - 240
2x = 120
2x/2 = 120/2
x = 60
Angle AEB and Angle DEC are 60°
A is TRUE. (AEB IS 60°)
Angle BEC and CED creates 180°
Since we know CED is 60° (CED can be written as DEC, since they both have the sides as the same letters, C and D)
B is TRUE. (BEC and CED ARE linear pairs)
From Answer Choice A, we can see that AED is 120° and that the vertical angle, which is the opposite, BEC, would be the same as AED.
C is TRUE. (BEC IS 120°)
"Adjacent" means "next to each other"
AED and BEC are total opposites.
D is NOT TRUE. (AED and BEC ARE NOT adjacent)
Hope This Helps! •v•
