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If △ OCA ~ △ OBD… (Class 10 Maths Basic SQP 2024-25, Q11)

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MathsCBSE Class 10 · Basic · Sample paper, session 2024-25 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2024-25: question 11

From the official CBSE sample question paper for 2024-25, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQTriangles

In the given figure, if then is equal to

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Figure in the paper: Two lines BD and AC intersect at O. B and D lie on one line (top), A and C on another (bottom), with segments AD and BC crossing at O. Angle at D between the top line and segment DO is marked 58°. Angle BOA (at O) is marked 110°. See it in the official paper.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

Find using a linear pair.

Hint 2

In similar triangles, corresponding angles are equal.

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. [linear pair]. In , .

  2. Since , , option (D).

    1 mark

Answer: 52°, option (D)

Where the marks are

  • Finds and uses the similarity correspondence (1 mark)

Revise the chapter

  • Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2024-25 (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.