Question

ABCD is a rhombus with diagonals intersecting at E. If m 14 years ago

Answer 1

I was told it was 4m+m=180, but how do they get that?

Answer 2

all four angles sum up to 360 degrees.
let <BAD=x . so, <ABC=4x
and opposite angles of a rhombus are equal.
so, 2(x+4x)=360
or, 10x= 360
or, x=36

now <BAD=36 and <ABC=144

Answer 3

wait, how did you get all angles sum up to 360 degrees?

Answer 4

And ofcourse diagonals bisect the angles and the diagonals perpendicularly bisect each other. so, <EBC = half of <ABC

think you can solve now?



360 degrees because sum of interior angles any four sided polygon, that is, any quadrilateral equals 360 degrees. And ofcourse rhombus is a polygon!