Triangle Angle Theorems — O/L Mathematics

How do I practise Triangle Angle Theorems?

1 question with a worked solution

1. In right-angled triangle ABC, angle B = 90°. If angle A = 2x and angle C = 3x, find the value of x.
   1. A) 20°
   2. B) 36°
   3. C) 15°
   4. D) 18°
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   Correct answer: D) 18°

   The acute angles of a right-angled triangle sum to 90°: angle A + angle C = 90° → 2x + 3x = 90° → 5x = 90° → x = 18°.

   Show worked solution

   Step 1: Triangle interior angle sum = 180°: angle A + angle B + angle C = 180°. Step 2: 2x + 90° + 3x = 180° → 5x + 90° = 180°. Step 3: 5x = 90° → x = 18°. Answer: 18°.
   Modelled on: the O/L Mathematics examination pattern

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Where does Triangle Angle Theorems fit in the syllabus?

Grade 10 · Term 3