How many quadrilaterals can be constructed with the following measurements? Quadrilateral PQRS with

PQ= 4.5 cm, ∠P=60°, ∠Q =100°, ∠R= 80°, and ∠S=110°.
[1 Mark]

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Solution

Here in the question, 4 angles and one side are given.
The sum of the given angles is 350, which violates the angle sum property of a quadrilateral.
This means we cannot create a single quadrilateral with the given condition.
60+100+80+110=350
[1 Mark]

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Similar questions

How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = $70^{\circ}$ , Angle Q = $100^{\circ}$ , Angle R = $80^{\circ}$ and Angle S = $110^{\circ}$ .

How many quadrilaterals can we construct with the following data: quadrilateral PQRS with PQ = 4.5 cm, $∠ P$ = $70^{\circ}$ , $∠ Q$ = $100^{\circ}$ , $∠ R$ = $80^{\circ}$ and $∠ S$ = $110^{\circ}$ .

Q. Construct a quadrilateral

P Q R S

such that

P Q = 3.5 c m, Q R = 4.5 c m, R S = 4 c m, ∠ Q = 110^{o}

and

∠ R = 80^{o}

Q. Construct a quadrilateral

P Q R S

with

P Q = 8

cm,

Q R = 6

cm,

∠ P = 60^{\circ}, ∠ Q = 45^{\circ}, ∠ R = 60^{\circ}

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How many quadrilaterals can be constructed with the following measurements? Quadrilateral PQRS with PQ= 4.5 cm, ∠P=60°, ∠Q =100°, ∠R= 80°, and ∠S=110°. [1 Mark]

Here in the question, 4 angles and one side are given. The sum of the given angles is 350, which violates the angle sum property of a quadrilateral. This means we cannot create a single quadrilateral with the given condition. 60+100+80+110=350 [1 Mark]

How many quadrilaterals can be constructed with the following measurements? Quadrilateral PQRS with

PQ= 4.5 cm, ∠P=60°, ∠Q =100°, ∠R= 80°, and ∠S=110°.
[1 Mark]

Here in the question, 4 angles and one side are given.
The sum of the given angles is 350, which violates the angle sum property of a quadrilateral.
This means we cannot create a single quadrilateral with the given condition.
60+100+80+110=350
[1 Mark]