Triangle angles question

[okay]

Hey guys, I was working on these questions:


Angle two is an exterior angle, and would be the sum of the opposite interior angles, which is 126 degrees. The measure of angle three would be 153 degrees. I got that by subtracting 180 from 128 to find the angle for the bottom right corner of the top triangle; 52 degrees. Add that and 101 and you have the measure for angle 3.

The angle I'm not figuring out here is angle 1. The textbook says the answer is 53 degrees. I thought that I could get the answer by subtracting 180 from 128, since both angles seem to be formed by parallel lines. However that gives me 52 degrees. Help?

 

[Quaid]

The angle I'm not figuring out here is angle 1.

Angle 1 is an interior angle in the largest triangle. The other two angles in that triangle are given.

The three interior angles in any triangle must add up to 180 degrees.

26 + 101 + 53 = 180

I thought that I could get the answer by subtracting 180 from 128

That would give you a negative angle! 180 is larger than 128.

Were you told that those two lines are parallel, or are you assuming they are?

 

[okay]

That would give you a negative angle! 180 is larger than 128.

I'm ready to build some bridges. lol

Were you told that those two lines are parallel, or are you assuming they are?

I was just assuming they were because I was lost. Somehow I didn't see the angle 1 being the corner of what would be the triangle of the entire roof. Thanks.