Angles, arcs and sectors

1103055108

Level: 
B
The figure shows a directional rosette that can be used to determine a marching angle. (The initial arm always faces north and the terminal arm determines the direction of the march, so the measure of the angle increases from north to east.) Give the radian measure of the marching angle if the march is directed southeast.
34π
54π
−34π
−54π

1103055205

Level: 
B
Given the square ABCD, find the measures of all coterminal angles to the angle DCB. (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
π2+2kπ, k∈Z
π2+kπ, k∈Z
−π2+2kπ, k∈Z
−π2+kπ, k∈Z

1103055206

Level: 
B
ABCD is a square, as it is shown in the picture. Find the measures of all the coterminal angles to the angle BDA. (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
74π+2kπ, k∈Z
4π+2kπ, k∈Z
4π+kπ, k∈Z
−74π+2kπ, k∈Z

2010007206

Level: 
B
The radian measure of the angle φ is π4. What is the sum of all the radian measures of the angles coterminal to φ from the interval [−5π;5π]? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
54π
2π
0
34π

2010018503

Level: 
B
The figure shows a directional rosette that can be used to determine a marching angle. (The initial arm always faces north, and the terminal arm determines the direction of the march, so the measure of the angle increases from north to east.) Give the degree measure of the marching angle if the march is directed southeast.
135∘
225∘
−135∘
45∘