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Katena32 [7]
3 years ago
7

What is the value of K?

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

3

Step-by-step explanation:

opposite angles

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Identify the angle measures of PQRS.
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The opposite angles of an inscribe quadrilateral are supplementary.

angle P + angle R = 180
6x + 7 + 12x + 11 = 180
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18x = 162
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Now we will substitute in the value of x to find angle P and R.

angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119

Now we will find the value of y.

angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
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19y = 152
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Now substitute in the value of y to find angle Q and S.

angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93

Hope this helps :)
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