Question

The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is
(a) 84°
(b) 91°
(c) 105°
(d) 98°

Answer 1

Let the angles of the triangle be 2x, 3x and 7x.
Now, 2x + 3x + 7x = 180° [Angle sum property of triangle]
⇒ 12x = 180°
⇒ x = 15°
∴ Largest angle = 7x = 7 × 15° = 105°
Hence, the correct answer is option (c).