Question

PQRS is a quadrilateral in which PQ = 5 cm, RS = 8 cm and the sum of
angle P and angle S is 180°. What is the name of this quadrilateral?

a) Parallelogram
b) Trapezium
c) Rhombus
d) Cannot be determined​

Answer 1

Answer:

your answer should be b)trapezium

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Answer 2

PQRS is trapezium if PQRS is a quadrilateral in which PQ = 5 cm, RS = 8 cm and the sum of

angle P and angle S is 180°.

Step-by-step explanation:

PQRS is a quadrilateral in which PQ = 5 cm, RS = 8 cm

PQ & RS are opposite sides

PQ ≠ RS

Hence it can not be parallelogram  ( as oppsoite sides of parallelogram are equal)

it can not be rhombus ( as all sides of rhombus are equal)

∠P + ∠S = 180°

=> PQ ║ RS

Hence PQRS is trapezium

Learn more:

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