In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum
of the other angles.
Which of the following could represent the measures of the three angles?
x, 2x, 3x
x 2x, 4x
x 2x, 2x

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)