If A, B and C are three angles of a triangle such that A – B = 60° and B – C = 15°, then angle A is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 105°.
A - B = 60° ⇒ A = B + 60°
B - C = 15° ⇒ C = B - 15°
Also, A + B + C = 180°
⇒ (B + 60°) + B + (B - 15°) = 180°
⇒ 3B + 45° = 180°
⇒ B = 45°
⇒ A = 45° + 60° = 105°