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alexdok [17]
4 years ago
5

Quadrilateral abcd is inscribed in a circle with m∠a = (x)degrees, m∠b = (2x - 10)degrees, and m∠c = (3x)degree. what is m∠d?

Mathematics
1 answer:
Lynna [10]4 years ago
6 0
Hello,

When you have a polygon inscribed in a circle, the opposite angles are supplementary.

So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.

If we input that in for angle B, we get: 2(25) - 10 = 80.

If angle B = 80, then angle D must be 100, because the angles are supplementary.

Good luck,
MrEQ
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Answer:

here's what we know:

a + b = 72

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We can use the elimination method to solve this problem:

a + b = 72

a - b = 26

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Divide both sides by 2:

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So we now have:

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and:

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Subtract 49 from both sides:

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Step-by-step explanation:

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Answer: All that you checked are right, except the last one, x = 4.5 as well.
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