PQRS is a trapezium in which PQ//RS . if angle P = angle Q = 50 degree, then what is the measure of other two angles?
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PORS is a trapezium (given)
PQ ll SR (given)
\angle{P}∠P = 30° (given)
\angle{Q}∠Q = 50° (given)
Now,
\angle{S}∠S + \angle{P}∠P = 108°
[ \therefore∴ Supplementary angles ]
\angle{S}∠S + 30° = 180°
\angle{S}∠S = 180° - 30°
\angle{S}∠S = 150°
Now,
\angle{R}∠R + \angle{Q}∠Q = 108°
[ \therefore∴ Supplementary angles ]
\angle{R}∠R + 50° = 180°
\angle{R}∠R = 180° - 50°
\angle{R}∠R = 130°
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