Question

The following figure show a quadrilateral in which AB and CD are parallel if
angle A :angle D = 3 :2 ,Angle B=( 5 x + 15 )° and C =(3x+5)° find each angle of the quadrilateral..​

Answer 1

Answer..

Let ∠A = 4x

∠D = 5x

Since ∠A + ∠D = 180° [AB||DC]

4x + 5x = 180°

=> 9x = 180°

=> x = 20°

∠A = 4 (20) = 80°,

∠D = 5 (20) = 100°

Again ∠B + ∠C = 180° [ AB||DC]

3x – 15° + 4x + 20° = 180°

7x = 180° – 5°

=> 7x = 175°

=> x = 25°

∠B = 75° – 15° = 60°

and ∠C = 4 (25) + 20 = 100°+ 20°= 120°

I hope u will understand this answer...