What is the value of x?
85°
92°
53°

x = 46

Step-by-step explanation:

Vertical angles are equal so call the angle y

85+53 +y =y+ 92+x

Subtract y from each side

85+53  = 92+x

Combine like terms

138 = 92+x

Subtract 92 from each side

138 -92 = 92+x-92

46 =x

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

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)