Answer:
Angle 1 - 51
Angle 2 - 39
Angle 3 - 90
Angle 4 - 51
Angle 5 - 17
Angle 6 - 129
Step-by-step explanation:
Angle 1 = 180 - 90 - 39 = 51
Angle 2 = 90 - Angle 2 (51) = 39
Angle 3 = 90
Angle 4 = 180 - Angle 2 (39) - Angle 3 (90) = 51
Angle 5 = 180- 90 - 34 -39 = 17
Angle 6 = 180 - Angle 4 (51) = 129
There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:
radians degrees
0 0
2π 360
π 180
π/2 90
π/4 45
and so on. Good luck!
