Question

PQRS is a rhombus. If
PSQ = 40°, find the
angles of the rhombus.
PQRS एक समचतुर्भुज है।
यदि ZPSQ = 40° है, तो
समचतुर्भुज के कोण ज्ञात कीजिए।​

Answer 1

Answer:

the angles are 80 and 100

Answer 2

∠P = 100° , ∠Q = 80° , ∠R = 100° &  ∠S =   80°

Step-by-step explanation:

PQRS is a rhombus

∠PSQ = 40°

=> ∠RSQ = 40°   ( as diagonal bisect the angles in rhombus)

=> ∠S = ∠PSQ + ∠RSQ

=> ∠S =  40° + 40°

=> ∠S =   80°

in rhombus opposite angle are equal

=> ∠Q = 80°

in rhombus sum of adjacent angle = 18°0

=> ∠P + ∠Q = 180°

=> ∠P +  80° = 180°

=> ∠P = 100°

& ∠R = 100°

∠P = 100° , ∠Q = 80° , ∠R = 100° &  ∠S =   80°

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