Question

PQRS is a trapezium with PQ || SR. If ZP = 30°, 4Q = 50°, find ZR and S.​

Answer 1

Answer:

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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