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In the given figure, ABCD is a Rhombus. If ∠A=80∘, then find ∠CDB.

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55°

65°

50°

60°

answer is C.

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Detailed Solution

Let ∠CDB = x°
Then CD = CB So, ∠CBD = x°
∠BCD = ∠BAD = 70° (Opposite angles of rhombus)
Then, x + x + 80° = 180° (sum of angles of ∆ equal to 180°)
Or, 2x = 100°
Or, x = 50° Or, ∠CDB = 50°
Hence the given statement is true.

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