Question

sum of the pair of the opposite angel of a parallelogram is 240 find the remaining angel​

Answer 1

Given:

• There is a paralleogram.

• Sum of two opposite angle of a paralleogram is 240°.

To Find:

• Remaining angles of the paralleogram.

Concept Used:

• We will make use of properties of a paralleogram.

Answer:

Given that sum of two opposite angle of a paralleogram is 240°.

Some properties to be remembered here

• Opposite angles are equal.
• Opposite sides are equal.
• Sum of adjacent angles is 180°.

We know opposite angles of a paralleogram are equal .

Let us suppose each angle be x .

Atq,

$\sf{\implies x + x =240^{\circ}}$

$\sf{\implies 2x=240^{\circ}}$

$\sf{\implies x =\dfrac{240^{\circ}}{2}}$

$\sf{\leadsto x =120^{\circ}}$

Again we know adjacent angle's sum is 180°.

Let the adjacent angle be y° and 120°

So,

$\sf{\implies y+120=180}$

$\sf{\implies y =(180-120)}$

$\sf{\leadsto y =60}$

Therefore measure of y is 60°.

Therefore all angles of paralleogram are

• 60°
• 120°
• 60°
• 120°.

Answer 2

Answer:

Given:

There is a paralleogram.

Sum of two opposite angle of a paralleogram is 240°.

To Find:

Remaining angles of the paralleogram.

Concept Used:

We will make use of properties of a paralleogram.

Answer:

Given that sum of two opposite angle of a paralleogram is 240°.

Some properties to be remembered here

Opposite angles are equal.

Opposite sides are equal.

Sum of adjacent angles is 180°.

We know opposite angles of a paralleogram are equal .

Let us suppose each angle be x .

Atq,

Again we know adjacent angle's sum is 180°.

Let the adjacent angle be y° and 120°

So,

Therefore measure of y is 60°.

Therefore all angles of paralleogram are

60°

120°

60°

120°.

Step-by-step explanation: