For what value of x is ABCD a rhombus, if m

Question

For what value of x is ABCD a rhombus, if m<DAC=(3x+4) and m<CAB= (4x-3)? 
The picture is in the comments

brooklynnfaith98 · Answer

attachment

templeguy · Answer

What did she say at 0:11 in this video? https://www.youtube.com/watch?v=lmT6srqyGGQ

sachintha · Answer

Considering the angles,

$\begin{array}{ccc}&\angle\;DAC&=&\angle\;CAB\&3x+4&=&4x-3\&x&=&7\end{array}$

templeguy · Answer

answer mine first

brooklynnfaith98 · Answer

Can you help me with my geometry ?  @Sachintha

sachintha · Answer

Sure.

brooklynnfaith98 · Answer

ABCD is a trapezoid. Find the value of x and y .

sachintha · Answer

Do you know the total of the angles inside the trapezoid?

brooklynnfaith98 · Answer

no

sachintha · Answer

Angles inside the trapezoid add up to ${}360^0$. So can you form up an equation with this?

sachintha · Answer

Ohh you don't need to consider that. There's a much easier way.

sachintha · Answer

Form equations.
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brooklynnfaith98 · Answer

huh? that adds up 360...?

sachintha · Answer

Yeah.
$127^0+x+74^0+y = 360^0$
or 
$127^0+x=180^0$ and $74^0+y=180^0$

brooklynnfaith98 · Answer

I'm doing something wrong ..

sachintha · Answer

What?

brooklynnfaith98 · Answer

never mind .

sachintha · Answer

Didn't you get how every angle adds up to 360 or else..?

brooklynnfaith98 · Answer

yes,I just got a little confused for a moment

sachintha · Answer

When you cut the shape with a diagonal you get two triangles each with the sum of interior angles adding up to 180. So 2*180 = 360 
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brooklynnfaith98 · Answer

okay...

sachintha · Answer

Solve these two to get the values of x and y.
$127^0+x = 180^0$
$74^0+y = 180^0$

sachintha · Answer

I used here allied angles to form the equations.
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