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find X and Y so that the quadrilateral is a parallelogram 5y 5x 25

Find X And Y So That The Quadrilateral Is A Parallelogram 5y 5x 25 class=

Sagot :

x=31

y=5

Explanation

Step 1

if the green angles are equal and the blue angles are equal, then

is is a parallelogram, then

[tex]\begin{gathered} green\text{ angle} \\ 5y=25 \\ \\ y=\frac{25}{5} \\ \\ y=5 \end{gathered}[/tex]

Step 2

blue angles

we do not have the value for the last angle, but we know

" the sum of the internal angles of a quadrilateral = 360

replacin

2 green angles +1 blue angle+5x=360

2*5y+5x+5x=360

[tex]\begin{gathered} 10y+10x=360 \\ 10x=360-10y \\ x=36-y \\ \text{replace }y=5 \\ x=36-5 \\ x=31 \end{gathered}[/tex]

I hope this helps you

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