3. Example Problem

Given this polygon with combination of angle types:

 

Determine

a. Deflection angle at A from D to B

Defl angle A = 180°00’ - 113°20’ = 66°40’ = 66°40’ R

 

 

b. Angle left at B from A to C

 

Int angle B = 180°00’ - 92°42’ = 87°18’

 

c. Deflection angle at D from A to C

 

 

Need interior angle at D to compute the deflection angle.

 

To compute interior angle at D, subtract the sum of the other interior angles from (n-2)x180°.

Need interior angle at C.

 

 

Int angle C = 360°00’ - 259°35’ = 100°25’

 

 

Int angle D = (4-2)x180°00’ - (113°20’ + 87°18’ + 100°25’) = 360°00’ - 301°03’ = 58°57’

 

 

 

Defl angle D = 180°00’ - 58°57 = 121°03’ = 120°03’ L