Question

In the following figure RUNS is a parallelogram. find x and y​

Answer 1

Step-by-step explanation:

So firstly, according to properties of parallelogram, it states that Opposite sides are equal.

So first lets find measure of NU

RS = NU

30 = y + 10

30 - 10 = y

20 = y

Now lets find RU

RU = SN

x + y = 35

x + 20 = 35

x = 35 - 20

x = 15

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Answer 2

Answer:

The values are $x=15$ and $y=20$ .

Step-by-step explanation:

In the given figure, RUNS is a parallelogram. Being opposite sides of a parallelogram, we have the following relations.

RS= UN   and   RU = SN

That is, those sides are equal. Given that

RS = 30 and    UN = $y+10$

Equating both, we obtain

$\implies y+10=30\\\\\implies y= 30-10=20$

Also,

RU = $x+y$    and   SN = 35

Equating these,

$\implies x+y=35$

Substitute $y=20$, to get

$\implies x+20=35\\\\\implies x=35-20=15$

Thus the variables $x=15$ and $y=20$