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Ilia_Sergeevich [38]
2 years ago
15

Two angles are complementary.The larger angle is 30 degrees more than 4 times the smaller

Mathematics
1 answer:
gregori [183]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.

Givens

Let the smallest angle = x

Let the largest angle = 4x + 30

Equation

4x + 30° + x = 90°                   Combine like terms on the left

Solution

5x + 30 = 90                            Subtract 30 from both sides.

5x + 30 - 30 = 90 - 30             Combine

5x = 60                                     Divide both sides by 5

5x/5 = 60/5

x = 12

Answer

  • smallest angle = 12
  • Larger angle = 4*12 + 30 = 78

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