Selina solutions

Selina solutions

Grade 6

Quadrilateral | Exercise 27(A)

Question 12

Q12) The following figure shows a quadrilateral in which sides AB and DC are parallel.

If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

Solution:

Let A = 4x

D = 5x

Since A + D =180

4x + 5x = 180

9x = 180

x = 20

A = 4(20) = 80 D = 5(20) = 100

B + C = 180

3x - 15 + 4x + 20 = 180

7x = 180 - 5

7x = 175

x = 25

B = 60

C = 120

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Question 12

Q12) The following figure shows a quadrilateral in which sides AB and DC are parallel.

If ∠A : ∠D = 4 : 5, ∠B = (3x – 15)° and ∠C = (4x + 20)°, find each angle of the quadrilateral ABCD.

Solution:

Let A = 4x

D = 5x

Since A + D =180

4x + 5x = 180

9x = 180

x = 20

A = 4(20) = 80 D = 5(20) = 100

B + C = 180

3x - 15 + 4x + 20 = 180

7x = 180 - 5

7x = 175

x = 25

B = 60

C = 120

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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