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BaLLatris [955]
3 years ago
11

The ratio of two complementary angles is 5 to 1. what are the angles?

Mathematics
1 answer:
densk [106]3 years ago
6 0
Call x and y those angles. If they are complementary, then their sum equals 90°:

x + y = 90°

y = 90° - x

The ratio of them is 5 to 1. So,

x/y = 5/1

x/(90° - x) = 5/1

x = 5 * (90° - x)

x = 450° - 5x

x + 5x = 450°

6x = 450°

x = 450°/6

x = 75°

The measure of the other angle is

y = 90° - 75°

y = 15°

The angles are 75° and 15°.

I hope it helps. =)
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Answer:

1.

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2.

y = 20 (14) + 300 = 580

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Step-by-step explanation:

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Shtirlitz [24]
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Amiraneli [1.4K]

Answer:

x = 18

Step-by-step explanation:

By the rule of Consecutive Interior Angles which define what these angles are, they both will add up to 180. As such we can put the sum of these two angles set equal to 180, and solve algebraically

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                         11x = 198                                                                                                                        

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Answer:

20

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