47.4k views
5 votes
Find the measure of exterior angle A.

Find the measure of exterior angle A.-example-1

2 Answers

1 vote
Exterior A=57



you are welcome
User Debilski
by
5.8k points
2 votes

Answer:

exterior ∠ A = 57°

Explanation:

the sum of the exterior angles of a polygon = 360°

sum the 5 exterior angles and equate to 360

6x - 3 + 4x + 8 + 49 + 3x + 30 + 14x + 6 = 360 , that is

27x + 90 = 360 ( subtract 90 from both sides )

27x = 270 ( divide both sides by 27 )

x = 10

Then

exterior ∠ A = 6x - 3 = 6(10) - 3 = 60 - 3 = 57°

User Manuel Navarro
by
6.0k points