Question

Triangle sum theorem WILL MARK BRAINLIEST

Answer 1

Answer:

So for a hint to help you...when you are looking at a triangle on a 180 degree line, each angle adds up to 180 degrees. So for example, on #9 on the top of the triangle, one of the angles is 49 degrees so you want to subtract that from 180 ( 180 - 49 = X ) ( X = angle 1 and 2 ) so angle 1 and 2 added together equals X. In this case, ( X = 131 degrees ) Every triangle equals 180 degrees too. So since this angle has 3 different angles on the line, you can do the rest of the problems and come back to these because you can subtract angle 4 and 73 to get angle 2.

(still on #9) Angle 3, as you can see only has one other number beside it (73) so it makes this one very easy. ( 180 - 73 = X ) ( X = 107 )  Angle 3 = 107 degrees

Angle 5. Subtract the 49 above angle 5 from 180 and the result will be angle 5. ( 180 - 49 = X ) ( X = Angle 5 ) X/angle 5 = 131.

Now you can get angle 4, which gives you angle 2 and 1. ( 180 - 131 = Angle 4 ) (Angle 4 = 49)

Angle 2. In the triangle, we have 73 degrees, and 49 degrees. So the equation for this one is, ( 180 - 73 - 49 = Angle 2 ) ( Angle 2 = 58 )

Angle 1. On this line, we have 49 degrees and 2=58 degrees. ( 180 - 58 - 49 = Angle 1 ) ( Angle 1 = 73 )

Lastly, Angle 3. The side of this triangle will also equal 180, just like the top line. Angle 1 = 73 degrees so as you now know, subtract that from 180 and get angle 3. ( 180 - 73 = Angle 3 ) (Angle 3 = 107 )

1: 73  degrees

2: 58 degrees

3: 107 degrees

4: 49 degrees

5: 131 degrees

I know this is a lot to read, but I really hope I explained it to where you can understand it now.