MCQ practice · SSC General Mathematics Board questions · Chapter 6: Lines, Angles and Triangles
In the right-angled triangle ABC, ∠A = ∠B + ∠C, ∠B = 2x° and ∠C = x°. What is the value of x?
Think it through first, then pick an option.
- a 15°
- b 30°
- c 45°
- d 60°
Answer and explanation
Correct answer: b 30°
∠A = 2x + x = 3x; 3x + 2x + x = 180° gives x = 30°.
Why the other options are wrong
- a 15°: At 15°, ∠A = 45° and the sum is 90°, not 180°.
- c 45°: At 45° the angles are 135°, 90°, 45° with sum 270°.
- d 60°: At 60° the angles are 180°, 120°, 60° with sum 360°.
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