Question

the angle of a triangle are equal and the third angle is greater than each of those angles by 30 degree determine all the angles of the triangle

Answer 1

Let the two equal angles be x Given that the third angle is 30 greater than the equal angle Hence third angle = (x + 30°) Recall that the sum of angles in a triangle is 180°⇒ x + x + (x + 30°) = 180° ⇒ 3x + 30° = 180° ⇒ 3x = 150° ∴ x = 50° Hence (x + 30°) = 50° + 30° = 80° Thus the angles of the triangle are 50°, 50° and 80°.