Question

The ratio of two complementary angles is 4:5. Find this angles and ratio of their supplementary angles.​

Answer 1

Answer:

4x+5x=180

9x=180

X=180/9

X= 20

Step-by-step explanation:

Hope it helps you

Answer 2

Answer:

$\bf{Lets \: assume \: 4\ratio5 \: as \: 4x \: and \: 5x }$

$\large\sf \red{complementary \: angle = 90 \degree }$

90°=4x+5x

90°=9x

90°/9=x

10=x

4x=4×10=40°

5x=5×10=50°

$\large \sf \red{supplementary \: angle = 180 \degree}$

1st angle=180-40=140°

2nd angle=180-50=150°

Ratio supplementary angle

$\bf{ \frac{ \cancel{140}}{ \cancel{150}} = \frac{14}{15} = 14 \ratio15 }$

Hence,these are the answers!