In the diagram ab is parallel to cd. what is the value of a?

a = 30

Step-by-step explanation:

a° and 5a° are same- side interior angles and are supplementary, thus

a + 5a = 180

6a = 180 ( divide both sides by 6 )

a = 30

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.