Triangle ABC and triangle xyz are shown AB equal to 3 cm BC = 6 and ac = 2 root 3 cm angle A equal to 80 degree angle B equals to 60 degree and xy = 4root3 CM Yz=12 xz=6then fond the value of y
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The value of y is 40°
Given,
Triangle ABC and triangle xyz are similar
AB = 3 cm
BC = 6 cm
AC = 2 root 3 cm
angle A = 80 degree
angle B = 60 degree
xy = 4root3 cm
yz = 12 cm
xz = 6 cm
Now consider,
In Δ ABC,
∠ A + ∠ B + ∠ C = 180°
80° + 60° + ∠ C = 180°
140° + ∠ C = 180°
∠ C = 180° - 140°
∴ ∠ C = 40°
As, Δ ABC and Δ xyz are similar,
∴ ∠ A = ∠ x
∠ B = ∠ z
∠ C = ∠ y
⇒ ∠ C = ∠ y = 40°
∴ ∠ y = 40°
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