NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Problems and Solutions
Question 62

Question. 62

Using the information given, name the right angles in each part of Fig. 2.40.

Answer:

(a) BA ⟂ BD ⇒ right angle: ∠ABD (at B).

(b) RT ⟂ ST ⇒ right angle: ∠RTS (at T).

(c) AC ⟂ BD ⇒ right angles at C: ∠ACB and ∠DCA.

(d) RS ⟂ RW ⇒ right angle: ∠SRW (at R).

(e) AC ⟂ BD (diagonals) ⇒ all four angles at E, e.g. ∠AEB, ∠BED, ∠DEC, ∠CEA, are right.

(f) AE ⟂ CE ⇒ right angle: ∠AEC.

(g) AC ⟂ CD ⇒ right angle: ∠ACD (at C).

(h) OP ⟂ AB (line of centres ⟂ common chord) ⇒ right angles at K (midpoint of AB): ∠OKA, ∠OKB, ∠PKA, ∠PKB.

Detailed Answer with Explanation:

Whenever two lines are perpendicular, any angle formed by one arm from each line is \(90^{\circ}\).

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – Problems and Solutions | Detailed Answers