The diagram shows three straight lines. с
110°
b
а
21
Work out the sizes of angles a, b and c.
b=
+
+

a=21°b=70°c=89°

Step-by-step explanation:

a=21°[by vertical opposite angle]

b+110°=180°[by linear angle]

b=180°-110°=70°

a+b+c=180°[by sum of all angle]

21°+70°+c=180

91°+c=180°

c=180°- 91°

c=89°

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.