Answer:
1 = 45
2 = 75
3 = 60
4 = 41
5 = 71
6 = 109
Explanation:
This may seem tricky at first, but if you follow the order of the numbers, you can find them fairly quickly using the values already given.
For angle 1:
The angle above it of 45 degrees is similar to angle 1, so that it automatically going to be 45
For angle 2:
The same concept for angle 1 applies for angle 2, so it will be 75 degrees.
For angle 3:
All triangles add up to 180 degrees. So, since we have angles 1, and 2, solve to find 3:
180 - 45 - 75 = 60
For angle 4:
All straight lines add up to 180 degrees. So solve to find angle 4 using the value we found for angle 3:
180 - 60 - 79 = 41
For angle 5:
Angle 5 is part of another triangle and we have two of the angles already. So solve to find angle 5 using the logic used to find angle 3:
180 - 41 - 68 = 71
For angle 6:
angles 5 and 6 are part of a straight line, so use the same logic for angle 4 and solve for angle 6:
180 - 71 = 109