Question

Which statements regarding the diagram of ΔEBC are true? Check all that apply.

∠BEC is an exterior angle.
∠DEC is an exterior angle.
∠ABE and ∠EBC are supplementary angles.
∠BCF and ∠BEC are supplementary angles.
∠BEC is a remote interior angle to exterior ∠BCF.

Answer 1

More than 1 answer!!

Answer 2

@mathmale @phi @Peace420 @princeevee @PandaNinja101 @SkyVoltage @michaelschmidt @Hannahsayshi

Answer 3

Ok - I cannot see a way to help except to give the answer, unless we talk about the definitions.

Lets look at the first one.

Do you know what an exterior angle IS?

Answer 4

an adjacent side extended outward

Answer 5

ok

so look at <BEC

is it from an extended line?

Answer 6

No.

Answer 7

its an interior angle

Answer 8

ok good


now
do oyu know what supplementary angles are?

Answer 9

angles that up to 90 right?

Answer 10

I mean 180 oops

Answer 11

no - thaose are COMPLEMENTARY angles

OK 180 deg is correct

Answer 12

So the 3rd one is true right ?

Answer 13

2 angles on a straight line are ALWAYS supplementary

so look at questin 2

Answer 14

sorry - q3
yes you are correct

Answer 15

What about angle bcf and angle bec? they don't look like what you drew but they r on the same line

Answer 16

No - I mean the 2 angles created when ONE line touches another - like I drew

Answer 17

what is a remote interior angle?

Answer 18

@MrNood

Answer 19

It's explained here:
http://www.mathwarehouse.com/geometry/triangles/angles/remote-exterior-and-interior-angles-of-a-triangle.php

Answer 20

okay thank you!!!