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2 years ago

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

Mathematics

1 answer:

dybincka [34]2 years ago

8 0

Answer:

B = 65

C = 115

Step-by-step explanation:

Givens

ABCD is a parallelogram

It is lettered in such a way that B is opposite D

B = 3n+20

D = 6n-25

Solution

<B = <D Property of Parallelogram

3n + 20 = 6n - 25 Add 25 to both sides

3n + 20 + 25 = 6n Combine

3n +45 = 6n Subtract 3n from both sides

3n +45 = 6n-3n Combine

45 = 3n Divide by 3

45/3=3n/3

n = 15 Value of n

B = 3n + 20 Find B. Let n = 15

B= 3*15+20 Combine

B = 45 + 20 Combine

B = 65

==================

B and C are supplementary. They add up to 180

B + C = 180

65 + C = 180

C = 180-65

C = 115

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