Home › P6 Prelim Papers › Nanyang 2025 › Q15b

Nanyang 2025 P6 Maths Prelim — Paper 2 Q15b Solution

Paper 2 · Q15b · 2 marks · 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 CDE.
Answer: $38^\circ$

Worked solution

  1. Using the rhombus and parallelogram properties, $\angle OFG = 76^\circ$ gives the diagonal angle $\frac{76^\circ}{2} = 38^\circ$. Tracing the angles along the straight lines FED and ABCD, $\angle CDE = 38^\circ$.

Practise the whole paper

This is one question from the Nanyang 2025 P6 prelim. Practise the full paper online — every question marked instantly, with worked solutions.

See the Nanyang 2025 paper →

More like this: P6 Angles questions · all P6 prelim papers · free sample.