MathsCBSE Class 10 · Standard · Board exam 2025, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 7

Set in the CBSE Class 10 board exam of 2025, paper 30/4/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQTriangles

$Δ$ ABC and $Δ$ PQR are shown in the adjoining figures. The measure of $∠ C$ is :

(A) $14 0^{\circ}$
(B) $8 0^{\circ}$
(C) $6 0^{\circ}$
(D) $4 0^{\circ}$

Figure in the paper: Triangle ABC: AB = 3.8 cm, BC = 6 cm, AC = $33$ cm, angle at C marked. Triangle PQR: PR = $63$ cm, RQ = 7.6 cm, PQ = 12 cm, angle at R = 80 $^{\circ}$ , angle at Q = 60 $^{\circ}$ . See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/4/1.

Hints

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

Hint 1

Compare ratios of sides, matching smallest with smallest.

Hint 2

C corresponds to P; use angle sum in $△ P QR$ .

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.

$\frac{A B}{R Q} = \frac{3.8}{7.6} = \frac{1}{2}, \frac{B C}{QP} = \frac{6}{12} = \frac{1}{2}, \frac{C A}{P R} = \frac{3 3}{6 3} = \frac{1}{2}$ , so $△ A B C \sim △ R QP$ (SSS).
$∠ C = ∠ P = 18 0^{\circ} - 8 0^{\circ} - 6 0^{\circ} = 4 0^{\circ}$ , option (D).
1 mark

Answer: $4 0^{\circ}$ , option (D)

Where the marks are

Establishes SSS similarity with correct correspondence and finds $∠ C = ∠ P = 4 0^{\circ}$ (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 paper2025 board paper, set 30/4/1 (Standard): 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.

CBSE Class 10 Mathematics Standard 2025: question 7

Hints

Step-by-step solution

Revise the chapter

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