JatziryO347608 JatziryO347608
  • 25-10-2022
  • Mathematics
contestada

If A and B are supplementary angles and A is nine times as large as B, find the measures of A and B.

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JaeliannaZ327261 JaeliannaZ327261
  • 25-10-2022

Supplementary angles add up to 180°

A+ B = 180

A is 9 times as large as B.

A = 9B

We have the system of equations:

A+ B = 180

A = 9B

Put the second equation into the first one, and solve for B

(9B)+ B = 180

10B = 180

B= 180/10

B = 18

Replace the value of B on any equation and solve for A:

A = 9B

A= 9(18)

A= 162

A= 162°

B=18°

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