InterviewSolution
Saved Bookmarks
| 1. |
In a ΔABC, 3∠A + 2∠B = 275° and 2∠B + 3∠C = 325°, value of ∠B is.1. 30°2. 60°3. 40°4. 50° |
|
Answer» Correct Answer - Option 2 : 60° Given: 3∠A + 2∠B = 275° and 2∠B + 3∠C = 325° Calculations: In ΔABC, ∠A + ∠B + ∠C = 180° (sum of all the angles of a Δ is 180°) 3∠A + 2∠B = 275° ----(1) 2∠B + 3∠C = 325° ----(2) Adding eq. (1) and eq. (2) 3∠A + 2∠B + 2∠B + 3∠C = 275° + 325° ⇒ 3∠A + 3∠B + 3∠C + ∠B = 600° ⇒ 180° × 3 + ∠B = 600° ⇒ ∠B = 600° - 540° ⇒ ∠B = 60° ∴ The value of ∠B is 60°. |
|