Question

in a Trapezium ABCD ab parallel to dc, angle A is to angle D is equals to 3 ratio 2 and Angle B is to angle c is to 4 ratio 5 find the angles of the trapezium​

Answer 1

Answer:

Step-by-step explanation:

a=4/5d

b=3/2c

a+d and c+b each =180 angle on same side of transeversal

4/5d+d=180

9/5d=180

d=5/9*180

d=100,a=80 supplementry

3/2c+c=180

c=2/5*180

c=72

so b=108

Answer 2

Step-by-step explanation:

let the angles be x

(a) 3x+(d)2x = 180°( adjacent angle of trapezium is 180°)

5x = 180°

x=180°/5

x= 36°

hence,

(a) 3x=3*36°

=108°

(d) 2x = 2*36

= 72°

(b) 4x+(c) 5x=180°

9x=180°

x=180°/9

x=20°

hence,

(b) 4x=4*20°

=80°

(c) 5x=5*20°

= 100°

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