geometry question

[ErikaaBee]

So the question is:
If m<ABD=6y+2x, m<DBC=5x+8, m<ADB=9x+4y+3, m<CDB= 10y+4x-1, and m<ABC=90, find x and y.

So far I have made a diagram which is basically just a right triangle with a line segment going through it. I have pretty much no clue how to do the rest of the problem though. HELP! thanks.

 

[Deleted member 4993]

So the question is:
If m<ABD=6y+2x, m<DBC=5x+8, m<ADB=9x+4y+3, m<CDB= 10y+4x-1, and m<ABC=90, find x and y.

The problem should have a diagram or statement like "ABCD is a rectangle and...."

So far I have made a diagram which is basically just a right triangle with a line segment going through it. I have pretty much no clue how to do the rest of the problem though. HELP! thanks.

 

[Denis]

If m<ABD=6y+2x, m<DBC=5x+8, m<ADB=9x+4y+3, m<CDB= 10y+4x-1, and m<ABC=90, find x and y.

If it is a right triangle and D is on the hypotenuse, then:
m<ABD + m<DBC = 90 and m<ADB + m<CDB = 180
That's enough for YOU to solve for x and y.