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SpyIntel [72]
3 years ago
11

What is the angle supplementary to the angle measuring 165°12′?

Mathematics
2 answers:
kicyunya [14]3 years ago
3 0
<span>Two angles are supplementary if their sum is 180 degrees. One degree is made up of 60 minutes. So the angle supplementary to an angle measuring 165d12m is 180d - 165d12m, which gives us 14d48m. So the answer is C. </span>
masya89 [10]3 years ago
3 0

Answer:

Option C is correct.

14^{\circ}48' is the angle supplementary to the angle measuring 165^{\circ}12'

Step-by-step explanation:

To find the angle supplementary to the angle measuring 165^{\circ}12'

Let A be the angle supplementary to the angle measuring 165^{\circ}12'.

Supplementary Angles states that the two Angles are Supplementary when they add up to 180 degrees.

Use the conversion:

1 degree = 60 minute.

Then, we have the given angle 165^{\circ}12' = 165\frac{12}{60} =165\frac{1}{5} =165.2^{\circ}

Now, by definition of supplementary angle;

\angle A + 165.2^{\circ}= 180^{\circ}

Subtract 165.2 on both sides we get;

\angle A= 180^{\circ} - 165.2^{\circ} =14.8^{\circ} =14^{\circ}48'

Therefore, the angle supplementary to the angle measuring 165^{\circ}12' is, 14^{\circ}48'




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