SOLUTION —
Let the two equal angles be x, then the third angle = x + 15°
∵The total measure of the three angles of a triangle = 180°
∴ ∠A + ∠B + ∠C =180°
⇒ x + 15° + x + x = 180°
⇒ 3x + 15° = 180°
⇒ 3x = 180° - 15° = 165°
∴ x = 165° / 3 = 55°
∴ The third angle = x + 15°
= 55° + 15°
= 70°
Hence, The angles are 55° and 70°