# A convex quadrilateral has exterior angle measures, one at each vertex, of c+49°, 2c, 128°, and 2c+13°. What is the value of c?

Feb 25, 2018

$c = 34$

#### Explanation:

In a quadrilateral, the exterior angles add up to ${360}^{o}$.

Hence, we can set up the following equation,

$c + 49 + 2 c + 128 + 2 c + 13 = 360$

$5 c + 190 = 360$

$5 c = 170$

$c = 34$