Question

24.
In Figure 3, A ABC and A XYZ are shown. If AB - 3 cm, BC = 6 cm,
AC = 23 cm, 2A - 80", ZB 60%, XY - 43 cm, YZ - 12 cm and
XZ = 6 cm, then find the value of ZY.
6 cm
80°
23 cm
4/3 cm
3 cm
60°
12 cm
6 cm
Figure-3​

Answer 1

∠Y = 40°

Step-by-step explanation:

AB=3 cm

BC=6 cm

AC= 2√3

∠A = 80°

∠B = 60°

XY = 4√3

YZ = 12

XZ= 6

3/6 = 6/12 = 2√3/4√3  = 1/2

=> AB / XZ = BC/ YZ  = AC/XY

=> Δ ABC ≈ ΔXZY

=> ∠C = ∠Y

∠A = 80° , ∠B = 60°

∠A + ∠B + ∠C = 180°

=> 80° + 60°  + ∠C = 180°

=> ∠C = 40°

=> ∠Y = 40°

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