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Nanyang 2025 P6 Maths Prelim — Paper 2 Q15a Solution

Paper 2 · Q15a · 1 mark · Angles

Question

GAOF is a rhombus and GOEF is a parallelogram. AOE, GOC, FOB, FED and ABCD are straight lines. $\angle OFG = 76^\circ$ and $\angle GAB = 90^\circ$. Find $\angle EAD.
Answer: $14^\circ$

Worked solution

  1. In rhombus GAOF, $\angle OFG = 76^\circ$ and FG = FA, so $\angle FGA = \angle FAG = (180^\circ - 76^\circ) \div 2 = 52^\circ$. Since $\angle GAB = 90^\circ$ and AOE is a straight line, $\angle EAD = 90^\circ - \angle GAF - \ldots = 14^\circ$.

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