Practicing Success
A,B,C are three angles of a triangle. If A - B = 45° and B - C 15° then ∠A =? |
83° 85° 95° 75° |
95° |
∠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 = \({95}^\circ\) |