St Nicholas 2025 P6 Maths Prelim — Paper 2 Q2 Solution

Paper 2 · Q2 · 2 marks · Angles

Question

ABCD is a rhombus and BEFD is a rectangle. $\angle BCD = 68^\circ$. Find $\angle ADF$.

Answer: $146^\circ$

In rhombus ABCD, $\angle ADB = \frac{1}{2}(180^\circ - 68^\circ) = 56^\circ$. Since BEFD is a rectangle, $\angle BDF = 90^\circ$. $\angle ADF = \angle ADB + \angle BDF = 56^\circ + 90^\circ = 146^\circ$.

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