the degree measures of the interior angles of a concave hexagon from an arithmetic sequence. the smallest angle measures 35 degrees. how many degrees are there in the measure of the largest angle?

205°

Step-by-step explanation:

an hexagon has 6 sides.

Sum of angles in a polygon = (2n-4) * 90

for hexagon, = (2*6 - 4) * 90 = 720°

Since the angles of the hexagon forms an arithmetic sequence, the angles will be;

a, a+d, a+2d, a+3d, a+4d, a+5d

a+a+d+a+2d+a+3d+a+4d+a+5d = 720

6a+15d = 720

15d = 720 - 6a

but a = 35 degrees

15d = 720 - (6*35)

15d = 510

d=34°

the largest angle is a+5d = 35 + (5*34)

= 205°