Raffles Girls 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution

Paper 1 Booklet A · Q15 · 2 marks · Angles

Question

A piece of paper in the shape of a trapezium is folded along dotted line EF. Find $\angle x$.

Answer: 1

\text{Trapezium has } \angle E = 100^{\circ}
\text{The top edge is parallel to the bottom edge, so the angle adjacent to } 100^{\circ} \text{ along the top is } 180^{\circ} - 100^{\circ} = 80^{\circ}
\text{Folding along EF reflects the flap across EF
the visible angle at the new tip is } 100^{\circ} - 2 \times 40^{\circ} = 20^{\circ}
\angle x = 20^{\circ}

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