Find the value of x if PQRS is a rhombus

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, thus

8x + 2 = 90 ( subtract 2 from each side )

8x = 88 ( divide both sides by 8 )

x = 11

5.5

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.