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sineoko [7]
4 years ago
11

Solve for the answer and you'll get 30 points. Don't mind the 63

Mathematics
1 answer:
Anna35 [415]4 years ago
4 0

Answer:

B = 18

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

D = B+C

117 = 8x+27 + B

Angle A and angle B are supplementary, which means they from a straight line.  They add to 180 degrees  

<A + <B = 180

18x + <B = 180

Solving for B

B = 180 -18x

Putting this into the above equation

117 = 8x+27 + 180-18x

Combing like terms

117 = 207-10x

Subtract 207 from each side

117-207 = 207-207 -10x

-90 = -10x

Divide by -10

-90/-10 = -10x/-10

9= x

We need to find angle B

B = 180 -18x

   = 180 - 18(9)

   = 180 -162

   = 18

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Answer:

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Step-by-step explanation:

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