Selina solutions

Selina solutions

Grade 6

Quadrilateral | Exercise 27(A)

Question 10

Q10) In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. Is PS also parallel to QR ?

Solution:

P : Q : R : S = 3:4:6:7

P = 3x

Q = 4x

R = 6x & S = 7x

P + Q + R + S = 360

3x + 4x + 6x + 7x = 360

20x = 360

x = 18

P = 54

Q = 72

R = 108

S = 126

PS and QR are not parallel

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subject-cta

Question 10

Q10) In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 3 : 4 : 6 : 7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. Is PS also parallel to QR ?

Solution:

P : Q : R : S = 3:4:6:7

P = 3x

Q = 4x

R = 6x & S = 7x

P + Q + R + S = 360

3x + 4x + 6x + 7x = 360

20x = 360

x = 18

P = 54

Q = 72

R = 108

S = 126

PS and QR are not parallel

Still have questions? Our expert teachers can help you out

Book a free class now

Want to top your mathematics exam ?

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Book a free class now
subject-cta
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