Question

In the adjoining figure, OPQRS is a trapezium. SR || PQ. ZS=45°, R=30°,
PQ=4, QR = 12 then find the length of SR.
Р
4
12
45°
30°
S
А
B
R
AD
ACAABC) AO​

Answer 1

Answer:

PQRS is a trapezium with PQ∥SR. ∠P=30

o

∠Q=50

o

, find ∠R and ∠S

Step-by-step explanation:

REF.Image

Since PQ||SR, and PS is transversal then

∠P+∠S=180

∘

(sum of consecutive interior angles on the same of transversal is 180

∘

)

30

∘

+∠S=180

∘

∠S=180

∘

−30

∘

∠S=150

∘

Since PQ||SR , and QR is transversal then

∠Q+∠R=180

∘

(sum of consecutive interior angles on the same side of transversal is 180

∘

)

50

∘

+∠R=180

∘

∠R=180

∘

−50

∘

∠R=130

∘