MATH SOLVE

4 months ago

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