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Nan Hua 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution

Paper 1 Booklet A · Q15 · 2 marks · Angles

Question

A sheet of paper in the shape of an isosceles triangle where $AB = AC$ is folded along the dotted line $BD$ as shown. Find $\angle x$.
Answer: 3

Worked solution

  1. \(\text{Let } \angle ABC = \angle ACB = a\)
  2. \(\text{After folding along } BD, \text{ the reflected angle gives } \angle x \text{ in terms of } a\)
  3. \(\text{Solving using isosceles and folding relations}\)
  4. \(\angle x = 96^\circ\)

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