asked 37.1k views
3 votes
The sizes of seven exterior angles of an octagon are: 42, 110, 13, 67, 55, 11 and 53. What is the size of the eighth exterior angle?

2 Answers

0 votes

Answer:

9 degrees.

Explanation:

For ALL polygons, the exterior angles add up to 360 degrees.

Therefore the 8th exterior angle = 360 - (42+110+13+67+55+11+53)

= 360 - 351

= 9 degrees.

answered
User Valerio Bozz
by
8.2k points
4 votes

Answer:

Explanation:

Always some of exterior angle of any polygon is 360

42 + 110 + 13 + 67 + 55 +11 + 53 + x = 360

351 +x = 360

x = 360 - 351

x = 9

answered
User Tsuyoshi Endo
by
8.7k points
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