Question

5. In the parallelogram ABCD, angle B=3 angle A . Find all the angles of the parallelogram.​

Answer 1

☆ Given :

Angle (A) = 3 (∠B)

AB = (5x - 7)

CD = (3x + 1)

☆ On Solving :

Finding Angles :

∠A = ∠B [ Corresponding angles ]

∠D = ∠A [ Transversal ]

➪ ∠B = ∠C [ Transversal ]

➪ ∠D = ∠C [ Corresponding angles ]

∴ ∠A = ∠B = ∠C = ∠D = 3(∠B)

Now Finding CD :

☕︎ Taking : AB = CD

➪ 5x - 7 = 3x + 1

On Transposing The Terms :

➪ 5x - 3x = 7 + 1

➪ 2x = 8

$a^{a} x = \frac{8}{2}$

Now ,

5x - 7 = 3x + 1

➪ 5(4) - 7 = 3(4) + 1

➪ 20 - 7 = 12 + 1

➪ 13 = 13

∴ L.H.S = R.H.S

Hence Proved

= CD = 13cm

Answer 2

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