Question

the ratio of two complementary angles is 4:5 find these angles and ratio on of their supplementary angle

Answer 1

Let the first angle be 4a
Second angle = 5a

According to question
4a+5a = 90
=> 9a = 90
=> a = 10

First angle = 40°
Second angle = 50°

Now,

Supplement of first angle = 180 - 40 = 140°
Supplement of second angle = 180 - 50 = 130°

Ratio of Supplement = 140:130 = 14 : 13

Answer 2

Heya,

Given:-
Radio of complementary angle = 4:5

To find:-
Angles & radio of supplementary angles.

Solution:-

Let's assume 4:5 as 4x & 5x

Complementary angle = 90°

90° = 4x + 5x
90° = 9x
90/9 = x
10 = x

4x = 4 × 10 = 40°
5x = 5 × 10 = 50°

Supplementary angle = 180°

1st angle = 180 - 40 = 140°

2nd angle = 180 - 50 = 150°

Radio supplementary angle = 140/150
Radio = 14/15
Radio = 14:15

Hope my answer helps you :)

Regards,
Shobana