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# What is the value of y using the interior of a polygon?

## 2 sides is 113 degrees and then the other 2 is y

Jun 21, 2018

$y = {67}^{\circ}$

#### Explanation:

$\text{we are given 4 interior angles thus the polygon is a }$
$\text{quadrilateral}$

$\text{sum of interior angles} = {360}^{\circ}$

$\text{form an equation and solve for } y$

$113 + 113 + y + y = 360$

$226 + 2 y = 360$

$2 y = 360 - 226 = 134$

$y = \frac{134}{2} = 67$