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The greater of two… (Class 10 Maths Basic 2024, Q27)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/1/1 · 3 marks · Short answer

CBSE Class 10 Mathematics Basic 2024: question 27

Set in the CBSE Class 10 board exam of 2024, paper 430/1/1, section C, question 27, for 3 marks. Try it first; the hints and our step-by-step solution are below.

Q27 · 3 marks · Short answerPair of Linear Equations in Two Variables

The greater of two supplementary angles exceeds the smaller by . Find measures of these two angles.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Supplementary angles add up to .

Hint 2

Write two equations — one for the sum and one for the difference — and add them.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Let the greater angle be and the smaller . Supplementary: ...(i)

    1 mark

  2. Given: ...(ii)

    1 mark

  3. Adding (i) and (ii):

    ½ mark

  4. . The angles are and .

    ½ mark

Answer: and

Where the marks are

  • Forms (1 mark)
  • Forms (1 mark)
  • (½ mark)
  • (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/1/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.