Question

The ratio of two supplementary angles is 11:4. How do you find the measure of each angle?

Answer 1

If they are supplementary they add up to `180^o`

Since they are in this ratio, let's call the one angle `11x` and the other one `4x`.

They add up to `11x+4x=15x=180^o->x=12`

So one angle is `11*12=132^o`
And the other is `4*12=48^o`

Check: `132+48=180`