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St Nicholas 2025 P6 Maths Prelim — Paper 2 Q7b Solution

Paper 2 · Q7b · 2 marks · Angles

Question

Using the figure of 2 identical parallelograms ABDH and HDEG and triangle EFG, (b) Find $\angle EFG$.
Answer: $49^\circ$

Worked solution

  1. $\angle HGE = 360^\circ - 229^\circ - 67^\circ = 64^\circ$. $\angle GEF = 180^\circ - 113^\circ = 67^\circ$. In triangle EFG, $\angle EFG = 180^\circ - 64^\circ - 67^\circ = 49^\circ$.

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