Answer:
The angles to use are:
45 degrees, 64 degrees, and 60 degrees
45 for the lower triangle
64 for the angle opposite the given 64 degrees
60 for the last angle
Step-by-step explanation:
The missing angle in the lower triangle can be obtained using the fact that the sum of angles in a triangle is 180 degrees.
Suppose the missing side is x, then
x + 64 + 71 = 180
x + 135 = 180
x = 180 - 135
= 45
For the ones in the upper triangle, the angle close to 64 degrees is also 64 degrees
Now, using the same theorem as for the lower triangle, we have:
y + 56 + 64 = 180
y + 120 = 180
y = 180 - 120
= 60