Math, asked by crispy77, 1 year ago

Consecutive interior angles of a parallelogram are 30x and 40y. Write a linear equation.

Answers

Answered by HappiestWriter012
5
Heya \: \: user \:

We know that,
Opposite angles of a parallelogram are equal!
The Sum of interior angles in a parallelogram equals a complete angle .

As per the question, The angles of given questions are 30x , 40y,30x , 40y .

Now,

30x + 40y + 30x +40y = 360

60x + 80y = 360

10(6x+8y) = 36(10)

6x+8y=36

2(3x+4y) = 36 .

3x+ 4y = 18.

Hence, The required linear equation is 3x + 4y = 18
Answered by snehitha2
2

Hii friend!!

In a parallelogram,opposite angles are equal.

So,the angles in a quadrilateral will be 30x,40y,30x and 40y

We know that,
Sum of angles in a parallelogram is 360°
30x + 40y + 30x + 40y = 360
60x + 80y = 360
20(3x + 4y) = 20(18)
3x + 4y = 18

Hope it helps
Similar questions