The measures of two supplementary angles are in the ratio 4 : 11. What is the measure of the greater angle?

1. 106°
2. 121°
3. 132°
4. 154°

Let the angles be 4x and 11x.

The question states that the angles are supplementary:

∴ 4x + 11x = 180°

⇒ 15x = 180°

⇒ x = $\dfrac{180^\circ}{15}$

⇒ x = 12°

Greater angle = 11x = (11 x 12°) = 132°

Hence, option 3 is the correct option.