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# If $(7q+46)^{\circ}$ and $(3q-6)^{\circ}$ form linear pair. Find the value of $q$.

$( A ) 26^{\circ} \\ ( B ) 14^{\circ} \\ ( C ) 15^{\circ} \\ ( D ) 24^{\circ}$

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A)
$7q + 46 + 3q - 6 = 180$
$10q + 40 = 180$
$10q = 180 - 40 = 140$
Hence $q = 14$