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Nan Hua 2025 P6 Maths Prelim — Paper 1 Booklet A Q15 Solution
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 $\angle x$.
- 1. $58^\circ$
- 2. $64^\circ$
- 3. $96^\circ$
- 4. $100^\circ$
Answer: 3
Worked solution
- \(\text{Let } \angle ABC = \angle ACB = a\)
- \(\text{After folding along } BD, \text{ the reflected angle gives } \angle x \text{ in terms of } a\)
- \(\text{Solving using isosceles and folding relations}\)
- \(\angle x = 96^\circ\)
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