Question

Find the angles of an isosceles triangle whose equal angles and the non - equal angles are in the ratio 3: 4.

Answer 1

The equal angles and the non-equal angle are in the ratio 3: 4.
Let equal angles be 3x each, therefore non-equal angle is 4x.
Angles of a triangle = 180°
⇒ 3x + 3x + 4x = 180°
⇒ 10x = 180°
⇒ x = 18°
Therefore, 3x = 54° and 4x = 72
Angles = 54°, 54° and 72°.