15 members of the Drama Club can make set decorations for their musical in 12 hours. After 4 hours have passed, a few teachers came to help, and the group completed the remaining work in 6 hours. How many teachers helped?
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answer = 5 teachers
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Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90 ∘
Now, ∠AOD=∠COB=90 ∘
(Vertically opposite angles)
⟹∠AOD+∠DOB=180 o
(Angles on a straight line)
⟹90+∠DOB=180 o
∠DOB=90 ∘
∠DOB=∠AOC=90 ∘
(Vertically opposite angles)
Thus, all angles are 90 ∘
.
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