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Nadusha1986 [10]
3 years ago
12

The ratio of two supplementary angles is 1:5. Find the measure of the larger angle?

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0
Okay, I'm actually going to help with this! c:
Okay, to find the answer you must set it up like this: 1x+5x=180. This is because these two angles add up to make up a supplementary angle, which, as you know, is 180. Now, I will show you the steps.
1. 1x+5x=180
2. Put the x into simpler form: 6x=180
3. Now divide 180 by 6 to isolate x. x=30. 
But we're not done.
4. Plug 30 into the equation. 1(30)+5(30)=180. 
Since you only need to find the larger angle, you'd multiply 5 by 30.
Your final answer is 150. Hoped this helped!



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It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

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Cancellation of the common terms will give us an answer of,
  
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</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
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