SOLUTION: Hello! I need your help on the following proof: Given: measurement of angle 1 equals the measure of angle 3 Prove:measure of angle 4 plus measure of angle 2 equals 180 degrees.

Question 31177: Hello! I need your help on the following proof:
Given: measurement of angle 1 equals the measure of angle 3
Prove:measure of angle 4 plus measure of angle 2 equals 180 degrees.
/ \
/ \
/ 3 1 \2
<-------------------->
4/
/
/

I tried to recreate the diagram. I think 3 and 1 are interior angles.Thank you.

Answer by troyapplehelen(46) (Show Source): You can put this solution on YOUR website!
if angle 4 and 2 are lying a line, then 4+2 is 180 degree. only thing u need see is that angle 4 and angle 2 are in a line.
if angle 3=1, then angle 2 is equal to the exterior of 3 (left side of 3).
then u see that angle 4 and the exterior of 3 (which is the same value of 2) are lying in a line which will give u 4+2 is 180 degree. (thank u for new drawing)
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