Please help me with question 23 using a well written explanation.

Two intersecting lines would create 4 angles which total 360°. Of those angles, the ones directly across from each other would be congruent, so we can write the following statement.

360°=2a+2b where a=two of the angle measurements and b=the other two
fill in the data we know
360°=2(35)+2b
360°=70+2b
subtract 70 from both sides
290=2b
divide both sides by 2
145=b

Soo..

2 angles measure 145° and 2 angles measure 35°

Answer=35°,35°,145°,145°

Catherinec1 Catherinec1 · Answer 2 · 2017-04-02T22:57:33+02:00

I wouldn't do it like the other person. There's a much easier way to do it. I would draw two lines intersecting each other then use supplementary angles to find it. I'll draw it to show you but if one angle is 35°, then the opposite angle has to also be 35° because they are vertical angles. Now you have one angle. You have 2 straight lines so you can do 180°-35° to get 145°. The angle opposite of that would have to be 145° as well because they are vertical angles as well.