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elixir [45]
4 years ago
15

How do you find the measures of the angles in a rhombus with the given angle 54 degrees?

Mathematics
2 answers:
hichkok12 [17]4 years ago
7 0
In a rhombus, the opposite angles are equal. So if one angle is 54 degrees and the opposite angle is the same,, you have 54 + 54 = 108. All of the angles in a rhombus always add up to a total of 180 degrees, so subtract 108 from 180 to get 72 degrees. This means that the other two angles add up to 72, and since we know that opposite angles are equal, we divide 72 by 2 to get 36. This means that the measure of the angle that is adjacent to the 54 degree angle is 72 degrees. 

Hope it is helpful!
Zielflug [23.3K]4 years ago
5 0
One angle is 54 degrees and the opposite angle is the same you add both of them together and that=108. So do 180-54 =72. This means that the other two angles add up to 72, divide 72 by 2 to get 36.   Its that easy hope that works for you. :)
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3 years ago
Can someone please answer. There is one problem. There's a picture. Thank you!
Nookie1986 [14]
Degrees: s = \frac{\pi}{180}\theta r
                s = \frac{\pi}{180}(\frac{s}{r})(r)
                s = \frac{\pi}{180}(\frac{95}{6})(6)
                s = \frac{\pi}{180}(15.8\bar{3})(6)
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                s = 95\°

Radians: s = \theta r
               s = \frac{95}{6}(6)
               s = 95
               s = \frac{19\pi}{36}

Arc Length = \frac{\theta}{360} * C
Arc Length = \frac{95}{360} * 2(3.14)(6)
Arc Length = \frac{19}{72} * 2(18.84)
Arc Length = \frac{19}{72} * 37.68
Arc Length = \frac{715.92}{72}
Arc Length = 9.94\bar{3}

The answer is A.
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3 years ago
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