Question

The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°. What is the measure of the largest exterior angle?
100°
105°
95°
90°

Answer 1

hint: all the interior angles must add to 720 degrees

how am I getting 720? by using the formula S = 180(n-2) and plugging in n = 6

S = 180(n-2)

S = 180(6-2)

S = 180(4)

S = 720

Answer 2

Once you know all the interior angles, you can find the exterior angles of each interior angle.

Answer 3

yes I know that part but idk the exterior part

Answer 4

if x is any interior angle and y is its corresponding exterior angle, then

x+y = 180

Answer 5

so for instance, the first interior angle is 130 degrees, so x = 130


x+y = 180

130+y = 180

y = 180 - 130

y = 50

so the exterior angle is 50 degrees

Answer 6

thank you that really helped me:)

Answer 7

you're welcome