Which benchmark angles (multiples of 30 degrees or 40 degrees) are closest to the rotation angles below? a) 40 b) 140 c) 170 d) 220 e) 250 f) 310

The benchmark angles are angles that are used as references like- 30 degrees, 45 degrees, 60 degrees, etc.

The closest angles to given rotation angles are:

A- 40- closest to the multiple of 45 degrees.

B- 140- closest to the multiple of 45 degrees (135 degree).

C- 170- closest to the multiple of 30 degrees (closest to 180 degrees which is multiple of both 30 and 45 degrees).

D- 220 -closest to the multiple of 30 degrees (210 degree).

E- 250- closest to the multiple of 30 degrees (240 degree).

F- 310- closest to the multiple of 45 degrees (315 degree).

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2