PQRS is a trapizum with QR=8cm and angel P =30°what is the length of the altitude drown from R to PQ produced
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Answer:
PORS is a trapezium (given)
PQ ll SR (given)
\angle{P} = 30° (given)
\angle{Q} = 50° (given)
Now,
\angle{S} + \angle{P} = 108°
[ \therefore Supplementary angles ]
\angle{S} + 30° = 180°
\angle{S} = 180° - 30°
\angle{S} = 150°
Now,
\angle{R} + \angle{Q} = 108°
[ \therefore Supplementary angles ]
\angle{R} + 50° = 180°
\angle{R} = 180° - 50°
\angle{R} = 130°
\
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