drewgoat786
drewgoat786
27-06-2018
Mathematics
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can you help me ?????
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afrazi01p8qv5j
afrazi01p8qv5j
27-06-2018
LOM and MON are supplementary angles, which means their sum will be 180°. Therefore: 9x - 91° + 6x + 76° = 180°
[tex]9x - 91\degree + 6x + 76\degree = 180\degree[/tex]
[tex]9x - 15\degree + 6x = 180\degree[/tex]
[tex]15x - 15\degree = 180\degree[/tex]
[tex]15x = 195\degree[/tex]
[tex]x = 13\degree[/tex]
Finally, we plug in x into 6x + 76° to solve m∠MON.
[tex]6(13\degree) + 76\degree = MON[/tex]
[tex]78\degree + 76\degree = MON[/tex]
[tex]154\degree = MON[/tex]
So, m∠MON is equal to 154°.
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