An irregular polygon has exterior angles measures of 74, 68, 80, and 69. What is the measure of the fifth exterior angle?

Question

 a polygon has 5 sides

Answer 1

the exterior angles of a polygon sum to 360º

74+68+80+69=291

360-291=69

the measure of the fifth angle is 69º

Answer 2

Willjah,

 

For a polygon of 5 sides the interior angles add to 540.

 

4 exterior angles are provided

 

Their corresponding interior angles are 180-74, 180-68 and so on

 

So 4 interior angles are 106, 112, 100 and 111

 

The fifth interior angle is 540 -(106 + 112 + 100 + 111) = 111

 

So the corresponding exterior angle is 180 -111 = 69

Answer 3

Ignore previous answer