Question

the measure of two supplimentary angle are in the ratio 4: 11 . what is the measure of the greater number 121 degree​

Answer 1

The ratio of two supplementary angles given here is 4:11.

Hence, they can be written as

$\frac{4}{11}$

and according to the question, the angles should sum up to 180°.

$4x + 11x = 180$

$15x = 180$

$x = \frac{180}{15}$

$x = 12$

then the angles will be

First angle = 4x

= 4×12

= 48°

Second angle = 11x

= 11×12

= 132°

Hence, the measure of larger angle is 132°