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Properties of parallelograms. Its one question of an IXL assignment

Properties Of Parallelograms Its One Question Of An IXL Assignment class=

Sagot :

tanmayakumarp3

Answer:

y = 13

Step-by-step explanation:

According to properties of a parallelogram,

Opposite sides of a parallelogram are equal and parallel so,

4y = y + 39 [Since opposite sides]

=> 4y - y = 39

=> 3y = 39

[tex] = > y = \frac{39}{3} [/tex]

=> y = 13 (Ans)

With the help of the diagram, we can find the value of y.

Solution :

We know that,

  • Opposite sides of a parallelogram are equal to each other .

So,

As, opposite sides are equal so,

[tex]\qquad\sf{ \dashrightarrow{ 4y {} = y + 39}} [/tex]

Adding (-y) to both sides :

[tex]\qquad\sf{ \dashrightarrow{ 4y + ( - y) {} = y + ( - y) + 39}} [/tex]

[tex]\qquad\sf{ \dashrightarrow{ 3y {} = 39}} [/tex]

Dividing 3 from both sides :

[tex]\qquad\sf{ \dashrightarrow{ \dfrac{3y}{3} {} = \dfrac{39}{3} }} [/tex]

[tex]\qquad{\pmb{ \bf{ \dashrightarrow{ y {} = 13}} }}[/tex]

⠀

Therefore, y = 13 .

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