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The three angles of a triangle are in the ratio 2 : 3 : 4. What is the largest angle (in degrees)?

Class 8Linear Equations in One VariableLinear Equations
  • A80
  • B60
  • C40
  • D90

Step-by-Step Solution

Let the angles be and . Then → → , so the angles are 40, 60 and 80 and the largest is 80. Check: 40 + 60 + 80 = 180. The trap 90 assumes the biggest angle must be a right angle; 40 and 60 are the other two angles.
Answer: A) 80

Key idea: Translating word problems

Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**

Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .

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