Consecutive interior angles of a parallelogram are 30x and 40y. Write a linear equation.
Answers
Answered by
5
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
Answered by
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
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