Question

Solve for x. HINT: these are exterior angles

Answer 1

Answer:

32 degree

Step-by-step explanation:

total pentagon exterior angles = 360 degrees

2x + 3x + 71 + 85 + 44 = 360

5x + 200 = 360

5x = 160

x = 32 degree

Answer 2

Answer:

x = 32

Step-by-step explanation:

Recall that the sum of all external angles of a polygon always adds up to 360°

hence

71° + 85° + 44° + 3x° + 2x° = 360

200° + 5x° = 360°

5x° = 360° - 200°

5x° = 160°

x = 160/5

x = 32