Question

Geometry, Angle Relationships Theorems question

I'm sure this looks a lot harder than it really is, but any help would be appreciated because I'm stumped. I'm supposed to fill in the green boxes but I can't figure out what to do. Thanks :)

Answer 1

Explanation:

1. <3 = <4 1 Given

2. <2 <3 are supplementary 2. non common sides in opposite rays

3. <2 + <3 = 180 3. Definition of supplementary angles

4. <2 + < 4 = 180 4 substitution

5. <1 = <4 5 Opposite angles are equal

6 <2 + <1 = 180 6 Substitution

7. <1, <2 are supplementary 7. Definition of supplementary angles

The only word I am not sure of is the last word in 2