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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-example-1
User Guddu
by
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1 Answer

11 votes
11 votes

x=31

y=5

Step-by-step explanation

Step 1

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

is is a parallelogram, then


\begin{gathered} green\text{ angle} \\ 5y=25 \\ \\ y=(25)/(5) \\ \\ y=5 \end{gathered}

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


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

I hope this helps you

Find X and Y so that the quadrilateral is a parallelogram 5y 5x 25-example-1
User Aatif Akhter
by
2.9k points