An angle represents 1/12 of a circle. use the numbers to show how to find the measure of the angle in degrees 1/12=1/12x? /? =360

The measure of the angle is

Step-by-step explanation:

Let

x-----> the measure of the angle in degrees

we know that

The measure of a complete circle is

so

by proportion

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is