Question

A pair of supplementary angles in ratio of 4:5.find them here
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Answer 1

one angle 100

another angle=80

Explanation:

supplementary angles =180

4x+5x=180

9x=180

x=180/9=20

one angle=5x=5(20)=100

another angle=4x=4(20)=80

100+80=180

Answer 2

Explanation:

Let the ratios be 4x and 5x

`\sf4x + 5x = 180` ( sum of supplementary angle )

Collect like terms

⇒
`\sf{9x = 180}`

Divide both sides of the equation by 9

⇒
`\sf(9x)/(9) = (180)/(9)`

Calculate

⇒
`\sf{x = 20}`

Value of x = 20

Now, let's replace the value,

⇒
`\sf4x = 4 * 20 = 80`

⇒
`\sf5x = 5 * 20 = 100`

Hope I helped!

Best regards!!