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please someone help with this question we are doing angle properties in polygons and I can't figure out b) i will give brainest please help 

Please Someone Help With This Question We Are Doing Angle Properties In Polygons And I Cant Figure Out B I Will Give Brainest Please Help class=

Sagot :

 Answer:

a)  a = 60°  b = 60°   c = 120°  d = 60°

b)  a = 140°   b = 20°  c = 60°    d = 60°

Step-by-step explanation:

a)   Sum of the angles of a hexagon = (6 - 2)180 = 720

Since the hexagon is regular, c = 720/6 = 120

a and c are supplementary, so a = 180 - 120 = 60

d = 120/2 = 60

b)  

sum of the angles of a nonagon = (9 - 2)180 = 1260

a = 1260/9 = 140

140 + 2b = 180

         2b = 40

           b = 20

c = 60  and d = 60  (This is really difficult to explain with the vertices being labeled)