Question

In the following figure, ∠B : ∠C = 2 : 3, then the value of ∠B will be

• A. 65°
• B. 52°
• C. 78°
• D. 130°

Answer 1

Answer:

B. 52°

Solution: Given: ∠B : ∠C = 2 : 3 and ∠CAD = 130° Concept used: The sum of the two internal angles is equal to the external angle Calculation: Let the internal angle of the triangle be 2x and 3x Now, ∠B + ∠C = ∠CAD ⇒ 2x + 3x = 130° ⇒ 5x = 130° ⇒ x = 130°/5 ⇒ x = 26° ∠B = 2 × 26° = 52° ∴ ∠B is 52°