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](/tpl/images/2313/8059/5d24e.png)
=》
![3x + 75 = 180](/tpl/images/2313/8059/f6ca7.png)
=》
![3x = 180 - 75](/tpl/images/2313/8059/81f21.png)
=》
![3x = 105](/tpl/images/2313/8059/5e9ee.png)
=》
![x = \dfrac{105}{3}](/tpl/images/2313/8059/687a7.png)
=》
![x = 35](/tpl/images/2313/8059/9c707.png)
value of x = 35°
now, 70° and (x + 3y)° are also adjacent angles of parallelogram, so
=》
![70 + x + 3y = 180](/tpl/images/2313/8059/2f1c7.png)
=》
![70 + 35 + 3y = 180](/tpl/images/2313/8059/e739d.png)
=》
![105 + 3y = 180](/tpl/images/2313/8059/bb766.png)
=》
![3y = 180 - 105](/tpl/images/2313/8059/899c4.png)
=》
![y = \dfrac{75}{3}](/tpl/images/2313/8059/58bf5.png)
=》
![y = 25](/tpl/images/2313/8059/81738.png)
value of y = 25°