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St Nicholas 2025 P6 Maths Prelim — Paper 2 Q7a Solution

Paper 2 · Q7a · 1 mark · Angles

Question

The figure is made up of 2 identical parallelograms, ABDH and HDEG, and a triangle EFG. AC and DF are straight lines. $\angle DBC = 67^\circ$ and the reflex $\angle HGF = 229^\circ$. (a) Find $\angle AHG$.
Answer: $134^\circ$

Worked solution

  1. $\angle ABD = 180^\circ - 67^\circ = 113^\circ$. In parallelogram ABDH, $\angle AHD = \angle ABD = 113^\circ$. Since the two parallelograms are identical, $\angle DHG = 113^\circ$ too is not used directly
  2. $\angle AHG = 360^\circ - 113^\circ - 113^\circ = 134^\circ$.

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