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tigry1 [53]
3 years ago
6

Two angles are complementary angles if the sum of their measures is 90°. If the measure of the larger of the two complementary a

ngles is 38° more than three times the measure of the smaller angle find the measures of the two angles
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer:13 = Smaller Angle and 77 = Larger Angle

Step-by-step explanation: If the measure of the larger of the two complementary angles is 38 more than three times the measure of the smaller angle.

This tells us there are two angles.

  • A larger one
  • A smaller one
  • We then look for which angle is being compared to the other one.

"38 more than three times the measure of the smaller angle"

  • This tells us the smaller angle is the angle that being compared to thus it can be labeled as x.

  • Let x = the smaller angle

To find the larger angle we must write out all the modifications. This angle is 38 more than. To represent 38 more than we can say +38 (more than indicating addition).

To represent three times the angle we can write 3x (three copies of x)

Thus...

  • Let 3x+38 = the larger angle.

If both angles are complementary then they add to 90 so..

  • x+3x+38=90
  • We can combine like terms to get...
  • 4x+38=90
  • Subtract 38 and we get 4x=52 and then
  • Divide by 4 on both sides nd we get x=13.
  • We then can substitute x=13 in and get 13 and 77

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