suleymartinez200 suleymartinez200
  • 07-05-2024
  • Mathematics
contestada

Suppose you know that two angles, angle A and angle B, are supplementary. The measure of angle A is 5 time the measure of angle B. Find the measure of the angles.

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sqdancefan
sqdancefan sqdancefan
  • 07-05-2024

Answer:

  A: 150°

  B: 30°

Step-by-step explanation:

You want the measures of supplementary angles A and B such that their measures have the ratio A:B = 5:1.

Supplementary angles

Supplementary angles total 180°. The measure of angle B is 1/(5+1) = 1/6 of the total, or 180°/6 = 30°. Angle A is 5 times that.

 A = 150°

  B = 30°

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