please help with math?

Question

I need help with this math question.

solve for x and y:
-------------------
/ 3y 3y \
/3x 3x \
-----------------------
\ 4x + 5 4x + 5 /
\ 3y - 20 3y - 20/
-------------------

This is supposed to be a polygon

Just pretend as if all the lins are connected. each equation is the measument of the angle.

but my problem is i cant solve it..ve been trying and all my answers are wrong

Answer 1

These are your two equations:

3y + 3y + 3x + 3x = 360°
4x+5+4x+5+3y-20+3y-20 = 360°

I would simplify each first.
6y + 6x = 360
>>6(y + x) = 360
>> y + x = 60

8x + 6y - 30 = 360
>>8x + 6y = 390
>>2(4x + 3y) = 390
>>4x + 3y = 195

Now you have two expressions which you can solve by a system of equations - substitution method.

x + y = 60
4x + 3y = 195

1. Isolate one of the variables.
x + y = 60
x = 60 - y

2. Plug this in the other equation.
4x + 3y = 195
4(60 - y) + 3y = 195

3. Solve.
240 - 4y + 3y = 195
240 - y = 195
240 - 195 = y
45 = y

4. Plug this in one of the other equations to solve for the other variable.
x + y = 60
x + 45 = 60
x = 15

Your answer is x = 15, y = 45.

Hope that helps!

Answer 2

The top part is a quadrilateral, the sum of the angles is 360°.
Same goes for the bottom part. So you have two equations:
3y + 3y + 3x + 3x = 360°
4x+5+4x+5+3y-20+3y-20 = 360°

Solve!