Question

What value of x and y will make the polygon below a parallelogram? X= ? Y= ?

Answer 1

if value of x = 35°and y = 25°, then the given polygon would be a parallelogram.

Explanation :

Here's the solution,

The sum of adjacent angles of a parallelogram is 180°,

So,

=》

$3x + 5 + 70 = 180$

=》

$3x + 75 = 180$

=》

$3x = 180 - 75$

=》

$3x = 105$

=》

$x = \dfrac{105}{3}$

=》

$x = 35$

value of x = 35°

now, 70° and (x + 3y)° are also adjacent angles of parallelogram, so

=》

$70 + x + 3y = 180$

=》

$70 + 35 + 3y = 180$

=》

$105 + 3y = 180$

=》

$3y = 180 - 105$

=》

$y = \dfrac{75}{3}$

=》

$y = 25$

value of y = 25°

Answer 2

I agree with the first person