The Broom Riddle (Solution) ft. Kurt Hugo Schneider part 3/3

I used two properties to solve the angles riddle

1. Two opposite angles of a line intersecting two parallel lines are equal. (Don't know if I sentenced it correctly)

2. Sum of the two angles of a triangle is equal to 180° minus the third angle.

I also took c = 45°

After scratching my notebook for 30 minutes I was finally able to get a + b = 45° = c (which obviously resulted in a loud scream of joy)

But I want to find it without any sort of calculation and just using the diagram and the properties. Please upload the description to the answer soon.

And I am off for some physicsing!