A,B,C are three angles of a triangle. If A - B = 45° and B - C 15° then ∠A =?
Answer & explanation
Correct answer: option 3
∠A + ∠B + ∠C = \({180}^\circ\) ..(1)
∠A - ∠B = \({45}^\circ\) ..(2)
∠A - ∠B = \({15}^\circ\) ..(3)
(1) + (2) + (3)
2∠A + ∠B = \({240}^\circ\) ..(4)
Solving (4) and (2),
∠A = \({95}^\circ\)