Answer:
Step-by-step explanation:
Ok man, you wanted the explanation (first person I've seen like that good job!)
This answer will be delayed like 10 minutes.
You already filled out number 4 so I'm going to skip that.
If 4 is 115 degs and you know that 4 + 5 and 4 + 2 are equal to 180 degrees because it is a straight line, 180 - 115 = 65.
So 5 and 2 is 65 degs.
If 2 is 65 degrees, you can add the 80 from the side to get
65 + 80 = 145.
There are 180 degrees in a triangle so...
180 - 145 = 35
Number 1 is 35 degrees.
A quadrilateral (something like the 4 sided weird thingie on the right that includes 5, 7, 61 degs, and the right angle) has 360 degrees, so...
61 + 65 (Angle 5) + Angle 7 + 90 (the right angle on the bottom right) = 360
61 + 65 + 90 + Angle 7 = 360
216 + Angle 7 = 360
360 - 216 = Angle 7
144 = Angle 7
Then you do 180 - 144 to get 6 since they are on a straight line.
Angle 6 = 36 degs.
If Angle 6 is 36 degs and the top is 115, you can add them and subtract it from 180 to get 3.
115 + 36 = 151
180 - 151 = 29
Angle 3 is 29 degs.
There you go!
You can check this by filling in the angles I mentioned and seeing if they add up to the total that should be formed of 180 or 360 depending on the quadrilateral, triangles, and supplementary angles.
Good luck!
