Question

Construct a quadrilateral PQRS where PQ = 5.4 cm, ∠P = 60°. ∠Q = 105°, ∠R = 75° and ∠S = 120°. Also write steps of construction.
"pls attach diagram"

Answer 1

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• Given :

a quadrilateral PQRS where PQ = 5.4 cm, ∠P = 60°. ∠Q = 105°, ∠R = 75° and ∠S = 120°.

• To find :

Construct Quadrilateral

• Solution:

∠P + ∠S = 180° ∠Q + ∠R = 180°

=> PQ ║ RS

PQ = 5.4 cm

we need one more information length of Either QR , RS or PS

Step 1 : Draw a line segment PQ = 5.4 cm

Step 2 : Draw an angle of 60° at P Using protractor

Step 3 : Draw an angle of 105° at Q using protractor

Step 4 : Draw a line parallel to PQ intersecting angles drawn at R ( 105° & S (60°)

You can draw as many quadrilaterals as you want positioning RS

so we need either of length QR , RS or PS to have unique quadrilateral.

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Learn more:

• Construct quadrilateral PQRS such that PQ=PS=PR= 9cm ,QR ...

brainly.in/question/13885649

• Construct a quadrilateral MORE in which ME =4.5cm and OR=3.5cm ...

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Answer 2

Answer:

yes the above answer is correct