Question

Two angles are in the ratio 4:5. Find the angles if they are complementary and supplementary to each other.

Answer 1

Answer:

Given ratio = 4:5

if the angles are complementry to each other

let the given ratio of angles multiplied by x.

then 4x+5x =90 degree

..... 9x= 90 degree

x= 90/9

x=10 degree

therefore first complementry angle =

=4*10=40degree

another complementry angle= 5x=5*10=50

Given ratio = 4:5

if the angles are. supplementry to each other

let the given ratio of angles multiplied by x.

then 4x+5x =180 degree

..... 9x= 180 degree

x= 180/9

x=20 degree

therefore first complementry angle =

=4*20=80degree

another suplementry angle= 5x=5*,20=100degree