Question

in a trapezium abcd, angle a : angle d =7:2 and and angle b: angle c = 4:5. find the angles of the trapezium​

Answer 1

Answer:

Step-by-step explanation:

Angle A + Angle D = 180 ... (I)

Angle B + Angle C = 180 ... (II)

(Transversal properties)

Angle A : Angle D = 7 : 2

In (I) :

7x + 2y = 180

(or)

35x + 10y = 900 ... (III)

In (II) :

4x + 5y = 180

(or)

8x + 10y = 360 ... (IV)

(III) - (IV) :

27x = 540

x = 20

y = 20

Angle A = 7x = 140°

Angle B = 4x = 80°

Angle C = 5x = 100°

Angle D = 2x = 40°

Hope it helped...

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