44.7k views
0 votes
Find the measure of exterior angle A. Show equations and all work that leads to your answer.

Find the measure of exterior angle A. Show equations and all work that leads to your-example-1

2 Answers

5 votes

Answer:

57

Explanation:

Find the measure of exterior angle A. Show equations and all work that leads to your-example-1
User Garrett
by
6.9k points
1 vote
Fine but I ain't showing my work completely.

The sum of all ext. angles of a polygon = 360.

So, you make this formula and solve for x.

360 = 49 + (3x+30) + (14x+6) + (6x-3) + (4x+8)
360 = 49 + 27x + 30 + 6 -3 + 8
360 = 90 + 27x
270 = 27x
/27 /27
10 = x

Now substitute for angle A, which is (6x-3)
6x-3
6(10)-3
60-3
57

Therefore, angle A is 57 degrees.

User Buggieboy
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.