a quadrilateral PQRS in which PQ = QR = 5 cm, ZP = 100°, ZQ = 80° and
ZR = 100°.
Answers
Answered by
3
Answer:
PQ = QR = 5cm
=> Adjacent sides are equal in length —(1)
∠P = 100° and ∠R = 100°
=> Opposite angles are equal —(2)
∠P = 100° and ∠Q = 80°
=> Adjacent angles are supplementary (or 180°) —(3)
From (1), (2) and (3),
=> Quadrilateral PQRS is a rhombus.
PQ = QR = 5cm
=> Adjacent sides are equal in length —(1)
∠P = 100° and ∠R = 100°
=> Opposite angles are equal —(2)
∠P = 100° and ∠Q = 80°
=> Adjacent angles are supplementary (or 180°) —(3)
From (1), (2) and (3),
=> Quadrilateral PQRS is a rhombus.
Attachments:
Similar questions