Q:

ABCD is a parallelogram. What are the measures of angles B and C? b=(3n+20) D= (6n-25)

Accepted Solution

A:
Answer:B = 65C = 115Step-by-step explanation:GivensABCD is a parallelogramIt is lettered in such a way that B is opposite DB = 3n+20D = 6n-25Solution<B = <D                      Property of Parallelogram3n + 20 = 6n - 25      Add 25 to both sides 3n + 20 + 25 = 6n      Combine3n +45 = 6n                Subtract 3n from both sides3n +45 = 6n-3n           Combine45 = 3n                        Divide by 345/3=3n/3                    n = 15                            Value of n    B = 3n + 20                  Find B. Let n = 15B= 3*15+20                   CombineB = 45 + 20                 CombineB = 65                                ==================B and C are supplementary. They add up to 180B + C = 18065 + C = 180C = 180-65C = 115