Question

What is the sum of the exterior angle of a pentagon?​

Answer 1

360°

Explanation:

The exteriors angles of a pentagon are (m + 5)°, (2m + 3)°, (3m + 2)°, (4m + 1)° and (5m + 4)° respectively. Find the measure of each angle. Hints: The sum of all exterior angles of a polygon is 360°.

Answer 2

Explanation:

The pentagon is not a regular one. If it were, all the angles would be 72, In addition you have to assume that when m has been solved that the m is constant for all angles.

m + 5 + 2m + 3 +3m+2 + 4m + 1 + 5m+ 4 =360

15m + 15 = 360 Subtract 15 from both sides

15m = 360 - 15 Combine

15m = 345 Divide by 15

m = 23

Answer

m + 5 = 28

2m + 3 =49

3m + 2 = 71

4m + 1 = 93

5m + 4 = 119

The total does come to 360