Question

Given that ABCD is a rhombus, what is the value of x?

Answer 1

well in your diagram BC is parallel to AD and BD is a transveral so then you can say by alternate angles in parallel lines the base angle is 5x -18

You also need to know the diagonals of a rhombus intersect at right angles




So you can use angle sum of a triangle

180 = 90 +x + 5x -18

just solve the equation for x

Answer 2

how? :)

Answer 3

collect like terms and you will have 180 = 6x + 72

its just a 2 step equation to solve now

Answer 4

Then what? subtract 72 from 180? :)

Answer 5

thats the 1st step

Answer 6

then what?

Answer 7

well you would have 6x = 108

what do you think you need to do to get a single x ?

Answer 8

divide! which is:18?

Answer 9

thats it well done