Question

Please solve Q15 .It is very important. ​

Answer 1

Question- The sun of opposite angle of a parallelogram is130°. Find all the angles.

Answer:

angles are = 130° , 50° ,130° and 50°.

Step-by-step explanation:

Given :

opposite angle of a parallelogram is130°.

To find : all angles

Concept used :

• opposite angle of parallelogram are equal
• sum of all the angles of parallelogram is 360°

solution:

Let other two angles be X°

Now, 130+130+X+X = 360°

260+2X= 360

2x= 100

x = 50°

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Answer 2

Answer :

Given :

• The sum of opposite angles of parallelogram is 130°.

Find :

• All the angles of parallelogram.

Solution :

We have,

• The sum of opposite angles = 130 .
• Then the value of both angles 130 ÷ 2 = 65

We know that ,

• The opposite angles of ${ll}^{gm}$ are equal.
• Sum if its all side is 360°

Now,

• Let the opposite angles be x

Sum of all the angles of a parallelogram

= x + x + y + y = 360°

= 2x + 130 = 360°

= 2x = 360 - 130

= x = $\dfrac{230}{2}$

= x = 115

The value of all the angles :-

• 1st angle = 65
• 2nd angle = 65
• 3rd angle = 115
• 4th angle = 115

Thank you ! :D

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