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loris [4]
3 years ago
15

What is the complimentary angle of 72 degrees

Mathematics
2 answers:
Stella [2.4K]3 years ago
7 0

Answer:

Step-by-step explanation:

If sum of two angles add up to 90°, then two angles are called complementary angles

Let the unknown angle be  x

x + 72° = 90°

x = 90° - 72°

x = 18°

Irina18 [472]3 years ago
4 0

Answer: 18°

Step-by-step explanation:

Complementary angles are any two angles whose sum is 90 degrees. Hence, if angles x and y are complimentary, we can say

x + y = 90°

Therefore, the complimentary angle of 72° is obtained by subtracting 72° from 90°

i.e 90° - 72° = 18°

Thus, the complimentary angle of 72° is 18°

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Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. \frac{24}{x}=\frac{x}{30}. We cross-multiply to get x^2=720. Taking the square root of both sides gives us that x=12\sqrt{5}, the second choice above.

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