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Properties of Trapezium

In a trapeziu...

Question

In a trapezium PQRS, PQ || RS; and∠P = 70° and ∠Q = 80°. Calculate the measure of ∠S and ∠R.

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Solution

In a trapezium PQRS, we have.

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Q. In a trapezium

P Q R S, P Q ∥ R S

∠ P = 70^{\circ}

∠ Q = 80^{\circ}

. Calculate the measure of

∠ S

∠ R

P Q R S

is a trapezium with

P Q ∥ S R

∠ P = 30^{o}

∠ Q = 50^{o}

∠ R

∠ S

Q. In □PQRS, m∠P = 70°, m∠Q = 115° and m∠R = 75°. What is the measure of ∠S?

We cannot construct a quadrilateral PQRS with PQ =6cm, QR = 5 cm, ∠P = 70^o, ∠Q = 150^o and the measurement of ∠R as

Q. In quadrilateral PQRS, if

∠ P = 60^{\circ}

∠ Q : ∠ R : ∠ S = 2 : 3 : 7,

then find the measure of

∠ S .

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Properties of Trapezium

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