Angles in Geometric Figures
P6 Mathematics · Finding unknown angles using isosceles triangles, parallel lines, parallelograms, angles at a point and angles on a straight line (P6 Math Topic 4). · 461 questions · difficulty D1–D5 · Singapore syllabus-aligned
Sample questions
SAMPLE 1
A prism has two identical right-angled triangular faces and three rectangular faces. The triangular faces have sides of lengths 3 cm, 4 cm, and 5 cm. The right angle is between the sides of 3 cm and 4 cm. The prism is 10 cm long (the distance between the two triangular faces). An incomplete net of the prism shows two of the rectangular faces already attached: one rectangle of size 3 cm by 10 cm attached to the side of length 3 cm, and another rectangle of size 5 cm by 10 cm attached to the side of length 5 cm. Which rectangle must be added to complete the net?
- A (1) 3 cm by 5 cm
- B (2) 4 cm by 10 cm
- C (3) 5 cm by 10 cm
- D (4) 3 cm by 10 cm
SAMPLE 2
PQRS is a square. An equilateral triangle STU is drawn on side SR, with point U outside the square. S and R are vertices of the triangle. Find the measure of angle PSU.
SAMPLE 3
ABCD is a square and CDE is an equilateral triangle. The square and the triangle share the side CD. Point E is on the opposite side of CD from the square. What is the size of ∠AEB?
- A A) 15°
- B B) 30°
- C C) 45°
- D D) 60°
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