Question

In the figure shown, m∠AED = 120° . Which of the following statements is false? The figure is not drawn to scale

A. m∠AEB = 60􏰀
B. m∠BEC = 120􏰀
C. ∠BEC and ∠CED are adjacent angles
D. ∠AED and ∠BEC are adjacent angles

Answer 1

what is the definition of an adjacent angle?

Answer 2

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Answer 3

ok, with that in mind, are BEC and CED adjacent?

Answer 4

Um, no

Answer 5

They only share a vertex

Answer 6

EC is a shared side

Answer 7

Oh, I did not see that.

Answer 8

yes, so it is just like 1 angle divided into two angles with a single line:

Answer 9

a and b are adjacent

Answer 10

The answer is A.

Answer 11

Right?

Answer 12

They tell you AED is 120

Answer 13

Right

Answer 14

a straight line is a total of 180 degrees

Answer 15

Yeah

Answer 16

so the angle x there is the 180 - 120 degrees

Answer 17

Oh, never mind

Answer 18

BEC is 120 also because it is a "vertical angle"

Answer 19

Use what you just found out about adjacent angles and test D)

Answer 20

Right

Answer 21

OK. d is true

Answer 22

AED is not adjacent to BEC, there is a whole new angle between them!

Answer 23

right, cool

Answer 24

Is D true?

Answer 25

D is FALSE

I just said - AED is not adjacent to BEC, there is a whole new angle between them!

Answer 26

Oh, alright. You said 'right'' so I assumed it was correct. But thanks!

Answer 27

k...you're welcome