Drag and drop an answer to each box to correctly complete the proof.

given: m∥n , m∠1=50∘ , m∠2=48∘ , and line s bisects ∠abc .

prove: m∠3=49∘

The complete demonstration would be

We know that line m and line n are parallel, also and , line s bisects .

Now, by angle addition postulate we know that DEF=

Then, by alternate exterior angle DEF, because alternate exterior angles are always congruent.

So, by definition of bisector Angles 4 and 5 are congruent, because a bisector line divides the angle in two equal parts.

Then, we see that angle 3 and angle 4 are vertical angles, and the congruence postulate states that vertical angles are always congruent. So, by substitution we have

See the attached picture:

d

gimmee one of those gold crowns!

~coco

take it another