There are 180<span>°<span>(180 degrees) in a triangle. </span> We are given one angle, in two triangles(essentially one), but there are two "hidden angles" that are not listed.
A 90</span>° angle is formed when two lines/rays/etc. intersect perpendicular to each other. So now we know two angles in triangle yellow, and one angle in triangle purple. <span> Since we know a triangle has 180 degrees, 180 - 90 - 45 = 45 degrees.
We have all three angles for triangle yellow.
Now, I don't have any proof unfortunately, but I believe the remaining angles for triangle purple is 30 degrees and 60 degrees.
Every triangle has 180 degrees when you add there angles so you know that they will add up to 180 they are right triangles so the right angle has 90 degrees so for the yellow triangle 90+45+x=180 135+x=180 45=x we can tell where the purple and yellow triangle touch is 90 so 45+x=90 to find that angle which is 45 and the other one is 45 so there are two 90 degree angles and three 45 degree angles. I hope that made sence
if you see in the picture the first three numbers 3,6 and 9 you add 3 in each number like 3+3=6 then 6=3 = 9 and 9 + 3 = 12 and so on. ( 45 also comes in this pattern )
