1~ Please help. What is the measure of m∠P and m∠N?
![1 Please help What is the measure of mP and mN class=](https://us-static.z-dn.net/files/dbc/39cb7a1fc9c25c4f28d6c93bc4cad4ac.png)
Answer:
Answer is option b)
Step-by-step explanation:
[tex]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[/tex]
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