PQRS is a trapezium with PQ || SR. If ZP = 30°, ZQ = 50°, find ZR and Zs.
Answers
Answered by
4
Step-by-step explanation:
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°
Attachments:
Similar questions