HazlynD679928 HazlynD679928
  • 03-11-2022
  • Mathematics
contestada

two angles are supplementary. One angle measures 12 degrees less than 3 times the other. find the measure of each angle

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ZayvenY436965 ZayvenY436965
  • 03-11-2022

Angle 1 = A

Angle 2 = B

They are supplementary, that means that they add 180 degrees, then: A + B = 180

One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B

Equation 1: A + B = 180

Equation 2: A - 12 = 3B

Solving for A in equation 1:

A + B = 180

A = 180 - B

Using this value into equation 2, and solving for B:

A - 12 = 3B

(180 - B) - 12 = 3B

180 - B - 12 = 3B

168 = 3B + B = 4B

4B = 168

B = 168/4 = 42

B = 42

Using the expression we found for A:

A = 180 - B = 180 - 42 = 138

A = 138

Answer

42 degrees and 138 degrees

Answer Link

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