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Anton [14]
3 years ago
14

1~ Please help. What is the measure of m∠P and m∠N?

Mathematics
1 answer:
gladu [14]3 years ago
7 0

Answer:

<em>Answer is option</em><em> </em><em>b</em><em>)</em>

Step-by-step explanation:

sum \: of \: opposite \: angles \: of \: a \: \\  cyclic \: quadrilateral \: is \: 180 \: degrees \\ from \: the \: diagram \\ 2x + 2x - 12 = 180 \\ 4x - 12 = 180 \\ 4x = 180 + 12 \\ 4x = 192 \\ x =  \frac{192}{4}  \\ x = 48 \\ angle \: P \:  = 2x \\  \:  \:  \:  = 2(48) \\   \:  \:  \:  = 96 \: degrees \\ angle \: N \:  = 2x - 12 \\  \:  \:  \:  \:  = 96 - 12 \\  \:  \:  \:  = 84 \: degrees

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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