In the regular decagon shown, what is the measure of angle 1?

the angle will be 144

Step-by-step explanation:

All sides are the same length (congruent) and all interior angles are the same size (congruent).

To find the measure of the angles, you need to divide 1440 by  10 which = 144

If you are solving for the central angle then divide 360 by 10 which = 36

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)