Question

in the given figure ab parallel cd if x= 4/3y and y=3/8z find angle bcd, abc, bad​ answer fast

Answer 1

Answer:

since AB||CD, so BD acts as a transversal.

so, <ABD = <BDC = x (alternate angles)

z = 8y/3 and x = 4y/3

so, in ∆BDC-

y + z + x = 180°

y + 8y/3 + 4y/3 = 180

(3y + 8y + 4y)/3 = 180

15y/3 = 180

5y = 180

y = 36°

so, x = (4*36)/3 = 48°

and, z = (8*36)/3 = 96°

Thus, <ABC = x + y =36 + 48 = 84°

<BCD = z = 96°

In ∆ABD, <BAD + x + 72 = 180

<BAD + 48 + 72 = 180

<BAD + 120 = 180

Thus, <BAD = 60°

Answer 2

Answer:

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