The algebraic sum of deflection angles(exterior) of a pentagon should be equal to ____________.

A deflection angle is another name for an exterior angle the angle formed when you continue a side of a polygon and measure the angle between that and the next side.

In any polygon, the sum of all exterior angles, one at each vertex, is always 360 degrees no matter how many sides the shape has.

In the Case of a Pentagon:

• A pentagon has 5 sides.
• If you measure the exterior angle at each corner (deflection angle),
• And then add them all together,
• The total will always be 360 degrees.

Because when you "walk" around any polygon and turn at each corner to go along the next side, you make one full turn and a full turn is 360°.

The algebraic sum of deflection angles (exterior) of a pentagon should be equal to 360 degrees.