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damaskus [11]
3 years ago
8

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26)

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

we know angles A and B are supplementary, thus their sum is 180°.

\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}

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