Question

Given that ABCD is a rhombus, what is the value of x
http://media.apexlearning.com/Images/200707/05/b6093ceb-93ca-4942-8069-ac3c2fe6acda.gif
i tried solving it by putting x+4x-25+90=180, im way off ._.

Answer 1

I believe it is 23, We know that the opposite angles of a rhombus are equal since a rhombus is a parallelogram,which has opposite sides as parallel , and since BD is a transversal......<CBD and <ADB are alternate angles .So < CBD = <ADB = 4x -25 . We know that diagonals of rhombus are perpendicular to each other. So according to the property of angles, 4x-25+x+90= 180 . Solve it to get x= 23

Answer 2

@Bella5 Its really 23? because i got 104 by using the same set up :/ thankyou though!

Answer 3

I've had this problem before :)