The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.
70°, 60°, 50°
Let angles = a, a−10, a−20. Sum = 3a−30 = 180 ⇒ 3a = 210 ⇒ a = 70. So angles = 70°, 60°, 50°.