Question

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Answer 1

x = 15°

Explanation:

Here Δ EFD ≅ Δ EBC

therefore ∠ EDF = ∠ ECB

∵ ∠ EDF = 3 x

∴ ∠ ECB = 3 x

As we know that the sum of all angles of a triangle is 180° .

∠DAC + ∠ DCA + ∠ ADC = 180°

x + 3 x + 8 x = 180°

12 x =180°

x = 180°/12

x = 15°