Question

In figure triangle ABC and triangle xyz are shown if a b is equal to 3 cm and BC is equal to 6 CM AC is equal to 2 root 3 cm angle is equal to 80 degree angle b is equal to 60 degree xy is equal to 4 root 3 centimetre y z is equal to 12 cm and x z is equal to 6 CM then find the value of angle y

Answer 1

∠ Y = 40°

Step-by-step explanation:

See the attached diagram.

The two triangles shown in the diagram, Δ ABC and Δ XZY are similar triangles.

{Since AB : BC : CA = XZ : YZ : XY = 3 : 6 : 2√3 }

So, the corresponding angles of the two triangles will be the same.

So, ∠ Y = ∠ C

Now, from Δ ABC, ∠ A = 80° and ∠ B = 60°

So, ∠ C = 180° - ∠ A - ∠ B = 180° - 80° - 60° = 40°

Therefore, ∠ Y = 40° (Answer)

Answer 2

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